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2023104304

B.Tech. 3rd Semester Examination, 2023

03 Hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Q.1 Choose the correct answer of the following (Any seven question only):

Ask AI

  1. Q1.1

    What is the value of the unit step function $ u(t-T) $ at any time $ t \le T $

    a)

    1

    b)

    0

    c)

    infinite

    d)

    none of the above

    Ask AI

  2. Q1.2

    An RC high-pass filter consists of a 820 ohm resistor. What is the value of C is to be taken so that $ X_c $ is ten times less than R at an input frequency of 12 kHz?

    a)

    81 µF

    b)

    161 µF

    c)

    0.161 µF

    d)

    220 µF

    Ask AI

  3. Q1.3

    The transient current in an RLC circuit is oscillating when

    a)

    R=2LCR = 2\sqrt{\frac{L}{C}}

    b)

    R=0R = 0

    c)

    R < 2\sqrt{\frac{L}{C}}

    d)

    R > 2\sqrt{\frac{L}{C}}

    Ask AI

  4. Q1.4

    A cut set matrix gives relation between

    a)

    Branch currents and link currents

    b)

    Branch voltages and tree branch voltages

    c)

    Branch voltages and link voltages

    d)

    Branch currents and tree currents

    Ask AI

  5. Q1.5

    A network consists 4 nodes, 6 branches. How many basic loop can be formed?

    a)

    3

    b)

    9

    c)

    1

    d)

    2

    Ask AI

  6. Q1.6

    In a series RLC circuit if C is increased resonant frequency

    a)

    Increases

    b)

    Decreases

    c)

    It remains the same

    d)

    It is zero

    Ask AI

  7. Q1.7

    What is the type of filter shown in the figure?

    Question Diagram
    a)

    Low pass filter

    b)

    High pass filter

    c)

    Band pass filter

    d)

    All pass filter

    Ask AI

  8. Q1.8

    Comment on the periodicity of a constant signal?

    a)

    It is periodic

    b)

    It is not periodic

    c)

    It is a mixture of period and aperiodic signal

    d)

    It depends on the signal

    Ask AI

  9. Q1.9

    The branches which are not present in a tree is called

    a)

    twigs

    b)

    links

    c)

    co-tree

    d)

    tie-set

    Ask AI

  10. Q1.10

    A system is linear if it satisfies

    a)

    Principle of superposition

    b)

    Principle of homogeneity

    c)

    Both (i) & (ii)

    d)

    Only (i)

    Ask AI

Q.2 Solve this question :

Ask AI

  1. Q2.1

    A given LTI system has produced an impulse response as shown by $ h(t) $ given in figure below. Find the time response of this LTI system when an input signal $ x(t) $ as shown below is applied to this system.

    Question Diagram
    Ask AI

Q.3 Solve both questions :

Ask AI

  1. Q3.1

    What is filter? Discuss the advantages of an active filter over a passive filter.

    Ask AI

  2. Q3.2

    What is band-pass filter? Derive the gain $ \left| \frac{V_o}{V_{in}} \right| $ of a first order Butterworth active band-pass filter.

    Ask AI

Q.4 Solve both questions :

Ask AI

  1. Q4.1

    Explain clearly with the help of suitable examples the following terms used in network analysis:
    a) Oriented graph
    b) Tree
    c) Cut Set
    d) Tie Set
    e) Incidence matrix and its properties.

    Ask AI

  2. Q4.2

    For a symmetrical two port network prove that $ AD - BC = 1 $

    Ask AI

Q.5 Solve both questions :

Ask AI

  1. Q5.1

    Obtain the first form of the Foster Network for the driving point impedance of LC network given as: $ Z(S) = \frac{10(S^2+4)(S^2+16)}{S(S^2+9)} $

    Ask AI

  2. Q5.2

    What is Cauer's form of circuit realization? Describe briefly.

    Ask AI

Q.6 Solve this question :

Ask AI

  1. Q6.1

    Establish the $ \pi - T / Y - \Delta $ transformation relations. Convert the $ \pi / \Delta $ into an equivalent $ T / Y $ network given below.

    Question Diagram
    Ask AI

Q.7 Solve this question :

Ask AI

  1. Q7.1

    For the following circuit draw the oriented graph and obtain the Tie-set matrix.

    Question Diagram
    Ask AI

Q.8 Solve this question :

Ask AI

  1. Q8.1

    In the following circuit $ V_s = 200\sqrt{2}\cos 500t $, $ R = 80 \Omega $, $ L = 160 $ mH.
    (a) Determine the current drawn from $ V_s $ and power absorbed by the LR circuit.

    (b) A capacitor is then connected across the $ V_s $, so that the current now drawn from $ V_s $ is in phase with $ V_s $. Determine the value of the capacitor and the power drawn from $ V_s $.

    Question Diagram
    Ask AI

Q.9 Write short notes on any two of the following:

Ask AI

  1. Q9.1

    Active Band pass filter

    Ask AI

  2. Q9.2

    Causal & non causal signals with examples

    Ask AI

  3. Q9.3

    Zero order hold circuit

    Ask AI

  4. Q9.4

    Aliasing and its effect

    Ask AI

2023V4104304

B.Tech. 3rd Semester Examination, 2023

03 Hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Q.1 Choose the correct answer of the following (Any seven question only):

Ask AI

  1. Q1.1

    What is the value of the unit step function $ u(t-T) $ at any time $ t \le T $

    a)

    1

    b)

    0

    c)

    infinite

    d)

    none of the above

    Ask AI

  2. Q1.2

    An RC high-pass filter consists of a 820 ohm resistor. What is the value of C is to be taken so that $ X_c $ is ten times less than R at an input frequency of 12 kHz?

    a)

    81 µF

    b)

    161 µF

    c)

    0.161 µF

    d)

    220 µF

    Ask AI

  3. Q1.3

    The transient current in an RLC circuit is oscillating when

    a)

    R=2LCR = 2\sqrt{\frac{L}{C}}

    b)

    R=0R = 0

    c)

    R < 2\sqrt{\frac{L}{C}}

    d)

    R > 2\sqrt{\frac{L}{C}}

    Ask AI

  4. Q1.4

    A cut set matrix gives relation between

    a)

    Branch currents and link currents

    b)

    Branch voltages and tree branch voltages

    c)

    Branch voltages and link voltages

    d)

    Branch currents and tree currents

    Ask AI

  5. Q1.5

    A network consists 4 nodes, 6 branches. How many basic loop can be formed?

    a)

    3

    b)

    9

    c)

    1

    d)

    2

    Ask AI

  6. Q1.6

    In a series RLC circuit if C is increased resonant frequency

    a)

    Increases

    b)

    Decreases

    c)

    It remains the same

    d)

    It is zero

    Ask AI

  7. Q1.7

    What is the type of filter shown in the figure?

    Question Diagram
    a)

    Low pass filter

    b)

    High pass filter

    c)

    Band pass filter

    d)

    All pass filter

    Ask AI

  8. Q1.8

    Comment on the periodicity of a constant signal?

    a)

    It is periodic

    b)

    It is not periodic

    c)

    It is a mixture of period and aperiodic signal

    d)

    It depends on the signal

    Ask AI

  9. Q1.9

    The branches which are not present in a tree is called

    a)

    twigs

    b)

    links

    c)

    co-tree

    d)

    tie-set

    Ask AI

  10. Q1.10

    A system is linear if it satisfies

    a)

    Principle of superposition

    b)

    Principle of homogeneity

    c)

    Both (i) & (ii)

    d)

    Only (i)

    Ask AI

Q.2 Solve this question :

Ask AI

  1. Q2.1

    A given LTI system has produced an impulse response as shown by $ h(t) $ given in figure below. Find the time response of this LTI system when an input signal $ x(t) $ as shown below is applied to this system.

    Question Diagram
    Ask AI

Q.3 Solve both questions :

Ask AI

  1. Q3.1

    What is filter? Discuss the advantages of an active filter over a passive filter.

    Ask AI

  2. Q3.2

    What is band-pass filter? Derive the gain $ \left| \frac{V_o}{V_{in}} \right| $ of a first order Butterworth active band-pass filter.

    Ask AI

Q.4 Solve both questions :

Ask AI

  1. Q4.1

    Explain clearly with the help of suitable examples the following terms used in network analysis:
    a) Oriented graph
    b) Tree
    c) Cut Set
    d) Tie Set
    e) Incidence matrix and its properties.

    Ask AI

  2. Q4.2

    For a symmetrical two port network prove that $ AD - BC = 1 $

    Ask AI

Q.5 Solve both questions :

Ask AI

  1. Q5.1

    Obtain the first form of the Foster Network for the driving point impedance of LC network given as: $ Z(S) = \frac{10(S^2+4)(S^2+16)}{S(S^2+9)} $

    Ask AI

  2. Q5.2

    What is Cauer's form of circuit realization? Describe briefly.

    Ask AI

Q.6 Solve this question :

Ask AI

  1. Q6.1

    Establish the $ \pi - T / Y - \Delta $ transformation relations. Convert the $ \pi / \Delta $ into an equivalent $ T / Y $ network given below.

    Question Diagram
    Ask AI

Q.7 Solve this question :

Ask AI

  1. Q7.1

    For the following circuit draw the oriented graph and obtain the Tie-set matrix.

    Question Diagram
    Ask AI

Q.8 Solve this question :

Ask AI

  1. Q8.1

    In the following circuit $ V_s = 200\sqrt{2}\cos 500t $, $ R = 80 \Omega $, $ L = 160 $ mH.
    (a) Determine the current drawn from $ V_s $ and power absorbed by the LR circuit.

    (b) A capacitor is then connected across the $ V_s $, so that the current now drawn from $ V_s $ is in phase with $ V_s $. Determine the value of the capacitor and the power drawn from $ V_s $.

    Question Diagram
    Ask AI

Q.9 Write short notes on any two of the following:

Ask AI

  1. Q9.1

    Active Band pass filter

    Ask AI

  2. Q9.2

    Causal & non causal signals with examples

    Ask AI

  3. Q9.3

    Zero order hold circuit

    Ask AI

  4. Q9.4

    Aliasing and its effect

    Ask AI

2022104304

End Semester Examination - 2022

03 Hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Q.1 Choose the correct option/answer of the following: (Answer any seven)

Ask AI

  1. Q1.1

    An ideal voltage source should have

    a)

    Large value of e.m.f

    b)

    Small value of e.m.f

    c)

    Zero source resistance

    d)

    Infinite source resistance

    Ask AI

  2. Q1.2

    For every tree, there will be _______ number of cut-set matrices.

    a)

    1

    b)

    2

    c)

    3

    d)

    4

    Ask AI

  3. Q1.3

    Which of the following expression is true in case of open circuit parameters?

    a)

    V1=Z11V1+Z12I2V_1 = Z_{11}V_1 + Z_{12}I_2

    b)

    V1=Z11I1+Z12V2V_1 = Z_{11}I_1 + Z_{12}V_2

    c)

    V1=Z11I1+Z12I2V_1 = Z_{11}I_1 + Z_{12}I_2

    d)

    V2=Z11I1+Z12I2V_2 = Z_{11}I_1 + Z_{12}I_2

    Ask AI

  4. Q1.4

    For a T shaped network, if the Short-circuit admittance parameters are $ Y_{11}, Y_{12}, Y_{21} $ and $ Y_{22} $ then $ Y_{11} $ in terms of Transmission parameters can be expressed as

    a)

    Y11=DBY_{11} = \frac{D}{B}

    b)

    Y11=C−ABY_{11} = \frac{C-A}{B}

    c)

    Y11=−1BY_{11} = \frac{-1}{B}

    d)

    Y11=ABY_{11} = \frac{A}{B}

    Ask AI

  5. Q1.5

    The cut-off frequency of the constant k-low pass filter is ?

    a)

    1/LC1/\sqrt{LC}

    b)

    1πLC\frac{1}{\pi\sqrt{LC}}

    c)

    LC\sqrt{LC}

    d)

    πLC\pi\sqrt{LC}

    Ask AI

  6. Q1.6

    Which condition determines the causality of the LTI system in terms of its impulse response?

    a)

    Only if the value of an impulse response is zero for all negative values of time

    b)

    Only if the value of an impulse response is unity for all negative values of time

    c)

    Only if the value of an impulse response is infinity for all negative values of time

    d)

    Only if the value of an impulse response is negative for all negative values of time

    Ask AI

  7. Q1.7

    A graph with n vertices and n-1 edges that is not a tree, is

    a)

    A circuit

    b)

    Euler

    c)

    Connected

    d)

    Disconnected

    Ask AI

  8. Q1.8

    If a network function has zeros only in the left-half of the s-plane, then it is said to be

    a)

    A stable function

    b)

    A non-minimum phase function

    c)

    A minimum phase function

    d)

    An all-pass function

    Ask AI

  9. Q1.9

    Define tree, twigs and links of a graph.

    Ask AI

  10. Q1.10

    What do you mean by natural response and forced response of a network?

    Ask AI

Q.2 Solve all questions :

Ask AI

  1. Q2.1

    Define the following terms: (i) Branch (ii) Node (iii) Tree (iv) Loop

    Ask AI

  2. Q2.2

    Define and state the properties of incidence matrix.

    Ask AI

  3. Q2.3

    For the graph shown below, find the incidence and cut set matrices.

    Question Diagram
    Ask AI

Q.3 Solve both questions :

Ask AI

  1. Q3.1

    Discuss in brief the Z parameters, Y parameters, hybrid parameters and ABCD parameters.

    Ask AI

  2. Q3.2

    Find the Z and Y parameters for the following circuit.

    Question Diagram
    Ask AI

Q.4 Solve both questions :

Ask AI

  1. Q4.1

    Check whether the following polynomial is Hurwitz or not: $ s^4 + 7s^3 + 4s^2 + 18s + 6 $

    Ask AI

  2. Q4.2

    A driving point impedance is given by: $ Z_{LC}(s) = \frac{s(s^2+1)(s^2+6)}{(s^2+1)(s^2+5)} $. Obtain the first form of Cauer network.

    Ask AI

Q.5 Solve both questions :

Ask AI

  1. Q5.1

    If the bandstop filter shown in below figure is to reject a 200 Hz sinusoid while passing other frequency, Calculate the value of L and C, take $ R = 150 \Omega $ and bandwidth as 100 Hz.

    Question Diagram
    Ask AI

  2. Q5.2

    Explain Low pass filter, high pass filter, band pass filter and band stop filter with proper diagram and derivation.

    Ask AI

Q.6 Solve both questions :

Ask AI

  1. Q6.1

    The output $ y(t) $ of a linear time invariant system is related to its input $ X(t) $ by following equation: $ y(t) = 0.5X(t-t_d+T) + X(t-t_d) + 0.5X(t-t_d-T) $. What is s Filter transfer function $ H(w) $.

    Ask AI

  2. Q6.2

    What is the system? What are the different types of system?

    Ask AI

Q.7 Solve both questions :

Ask AI

  1. Q7.1

    Obtain the first and second Foster forms of the below reactance function: $ Z(s) = \frac{s(s^2+9)}{(s^2+4)(s^2+16)} $

    Ask AI

  2. Q7.2

    Show all possible cut-sets of the below network graph.

    Question Diagram
    Ask AI

Q.8 Solve both questions :

Ask AI

  1. Q8.1

    Obtain the values of L and C for a prototype T and $\pi$ shape low pass filters with $ R_0 = 500 \Omega $ and cut off frequency $ f_c = 2KHz $.

    Ask AI

  2. Q8.2

    A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 1kHZ and below 30kHz. Assuming that both the resistors have values of 10k$\Omega$, calculate the values of the two capacitors required.

    Ask AI

Q.9 Write short notes on any two of the following:

Ask AI

  1. Q9.1

    Image impedance and its relation to open circuit and short circuit impedances.

    Ask AI

  2. Q9.2

    Transient response of R L series circuit to impulse signal.

    Ask AI

  3. Q9.3

    Inverse hybrid parameter of a 2 port network.

    Ask AI

2022V4104304

End Semester Examination - 2022

03 Hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Q.1 Choose the correct option/answer of the following: (Answer any seven)

Ask AI

  1. Q1.1

    An ideal voltage source should have

    a)

    Large value of e.m.f

    b)

    Small value of e.m.f

    c)

    Zero source resistance

    d)

    Infinite source resistance

    Ask AI

  2. Q1.2

    For every tree, there will be _______ number of cut-set matrices.

    a)

    1

    b)

    2

    c)

    3

    d)

    4

    Ask AI

  3. Q1.3

    Which of the following expression is true in case of open circuit parameters?

    a)

    V1=Z11V1+Z12I2V_1 = Z_{11}V_1 + Z_{12}I_2

    b)

    V1=Z11I1+Z12V2V_1 = Z_{11}I_1 + Z_{12}V_2

    c)

    V1=Z11I1+Z12I2V_1 = Z_{11}I_1 + Z_{12}I_2

    d)

    V2=Z11I1+Z12I2V_2 = Z_{11}I_1 + Z_{12}I_2

    Ask AI

  4. Q1.4

    For a T shaped network, if the Short-circuit admittance parameters are $ Y_{11}, Y_{12}, Y_{21} $ and $ Y_{22} $ then $ Y_{11} $ in terms of Transmission parameters can be expressed as

    a)

    Y11=DBY_{11} = \frac{D}{B}

    b)

    Y11=C−ABY_{11} = \frac{C-A}{B}

    c)

    Y11=−1BY_{11} = \frac{-1}{B}

    d)

    Y11=ABY_{11} = \frac{A}{B}

    Ask AI

  5. Q1.5

    The cut-off frequency of the constant k-low pass filter is ?

    a)

    1/LC1/\sqrt{LC}

    b)

    1πLC\frac{1}{\pi\sqrt{LC}}

    c)

    LC\sqrt{LC}

    d)

    πLC\pi\sqrt{LC}

    Ask AI

  6. Q1.6

    Which condition determines the causality of the LTI system in terms of its impulse response?

    a)

    Only if the value of an impulse response is zero for all negative values of time

    b)

    Only if the value of an impulse response is unity for all negative values of time

    c)

    Only if the value of an impulse response is infinity for all negative values of time

    d)

    Only if the value of an impulse response is negative for all negative values of time

    Ask AI

  7. Q1.7

    A graph with n vertices and n-1 edges that is not a tree, is

    a)

    A circuit

    b)

    Euler

    c)

    Connected

    d)

    Disconnected

    Ask AI

  8. Q1.8

    If a network function has zeros only in the left-half of the s-plane, then it is said to be

    a)

    A stable function

    b)

    A non-minimum phase function

    c)

    A minimum phase function

    d)

    An all-pass function

    Ask AI

  9. Q1.9

    Define tree, twigs and links of a graph.

    Ask AI

  10. Q1.10

    What do you mean by natural response and forced response of a network?

    Ask AI

Q.2 Solve all questions :

Ask AI

  1. Q2.1

    Define the following terms: (i) Branch (ii) Node (iii) Tree (iv) Loop

    Ask AI

  2. Q2.2

    Define and state the properties of incidence matrix.

    Ask AI

  3. Q2.3

    For the graph shown below, find the incidence and cut set matrices.

    Question Diagram
    Ask AI

Q.3 Solve both questions :

Ask AI

  1. Q3.1

    Discuss in brief the Z parameters, Y parameters, hybrid parameters and ABCD parameters.

    Ask AI

  2. Q3.2

    Find the Z and Y parameters for the following circuit.

    Question Diagram
    Ask AI

Q.4 Solve both questions :

Ask AI

  1. Q4.1

    Check whether the following polynomial is Hurwitz or not: $ s^4 + 7s^3 + 4s^2 + 18s + 6 $

    Ask AI

  2. Q4.2

    A driving point impedance is given by: $ Z_{LC}(s) = \frac{s(s^2+1)(s^2+6)}{(s^2+1)(s^2+5)} $. Obtain the first form of Cauer network.

    Ask AI

Q.5 Solve both questions :

Ask AI

  1. Q5.1

    If the bandstop filter shown in below figure is to reject a 200 Hz sinusoid while passing other frequency, Calculate the value of L and C, take $ R = 150 \Omega $ and bandwidth as 100 Hz.

    Question Diagram
    Ask AI

  2. Q5.2

    Explain Low pass filter, high pass filter, band pass filter and band stop filter with proper diagram and derivation.

    Ask AI

Q.6 Solve both questions :

Ask AI

  1. Q6.1

    The output $ y(t) $ of a linear time invariant system is related to its input $ X(t) $ by following equation: $ y(t) = 0.5X(t-t_d+T) + X(t-t_d) + 0.5X(t-t_d-T) $. What is s Filter transfer function $ H(w) $.

    Ask AI

  2. Q6.2

    What is the system? What are the different types of system?

    Ask AI

Q.7 Solve both questions :

Ask AI

  1. Q7.1

    Obtain the first and second Foster forms of the below reactance function: $ Z(s) = \frac{s(s^2+9)}{(s^2+4)(s^2+16)} $

    Ask AI

  2. Q7.2

    Show all possible cut-sets of the below network graph.

    Question Diagram
    Ask AI

Q.8 Solve both questions :

Ask AI

  1. Q8.1

    Obtain the values of L and C for a prototype T and $\pi$ shape low pass filters with $ R_0 = 500 \Omega $ and cut off frequency $ f_c = 2KHz $.

    Ask AI

  2. Q8.2

    A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 1kHZ and below 30kHz. Assuming that both the resistors have values of 10k$\Omega$, calculate the values of the two capacitors required.

    Ask AI

Q.9 Write short notes on any two of the following:

Ask AI

  1. Q9.1

    Image impedance and its relation to open circuit and short circuit impedances.

    Ask AI

  2. Q9.2

    Transient response of R L series circuit to impulse signal.

    Ask AI

  3. Q9.3

    Inverse hybrid parameter of a 2 port network.

    Ask AI

2020104304

B.Tech Examination, 2020

3 hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

Ask AI

  1. Q1

    Choose the correct answer of the following (any seven):

    a)

    The output y(t)y(t) and the input x(t)x(t) of a system are related by the equation y(t)=x(t)+cy(t) = x(t) + c, where mm and cc are constants. The system (i) is linear (ii) is non-linear (iii) may be linear or non-linear depending on y(t)y(t) and x(t)x(t) (iv) None of the above.

    b)

    Which one of the following is a linear system? (i) y(t)=2u(t)y(t) = 2u(t) (ii) y(t)=2u(t)+5y(t) = 2u(t) + 5 (iii) y(t)=2u2(t)y(t) = 2u^2(t) (iv) y(t)=2u2(t)+5y(t) = 2u^2(t) + 5

    c)

    The graph of a network has six branches with three tree branches. The minimum number of equations required for the solution of the network is (i) 2 (ii) 3 (iii) 4 (iv) 5

    d)

    The condition for over-damped response of an RLCRLC series circuit is (i) R24L2=1LC\frac{R^2}{4L^2} = \frac{1}{LC} (ii) R24L2<1LC\frac{R^2}{4L^2} < \frac{1}{LC} (iii) R24L2>1LC\frac{R^2}{4L^2} > \frac{1}{LC} (iv) R24L2≤1LC\frac{R^2}{4L^2} \le \frac{1}{LC}

    e)

    The value of the impulse function δ(t)\delta(t) at t=0t=0 is (i) 0 (ii) ∞\infty (iii) 1 (iv) indeterminate

    f)

    In a two-port network containing linear bilateral passive circuit elements, which one of the following conditions for z$-parameters would hold? (i) $z_{11} = z_{22} (ii) z12z21=z11z22z_{12}z_{21} = z_{11}z_{22} (iii) z11z12=z22z21z_{11}z_{12} = z_{22}z_{21} (iv) z12=z21z_{12} = z_{21}

    g)

    If f(t)f(t) is a periodic waveform with even symmetry, then its Fourier series expansion does not contain (i) sine terms (ii) cosine terms (iii) odd harmonics (iv) even harmonics

    h)

    In a series resonant circuit, to obtain a low-pass characteristic, across which element should the output voltage be taken? (i) Resistor (ii) Inductor (iii) Capacitor

    i)

    A high-pass filter circuit is basically (i) a differentiating circuit with low-time constant (ii) a differentiating circuit with large-time constant (iii) an integrating circuit with low-time constant (iv) an integrating circuit with large-time constant

    14 marks
    Ask AI

  2. Q2

    Answer the following:

    a)

    Define the following functions:

    4 marks
    b)

    Determine whether the system defined by y(t)=sin⁡[x(t)]y(t) = \sin[x(t)] is time-invariant.

    5 marks
    c)

    Determine whether the following continuous-time systems are stable:

    5 marks
    Ask AI

  3. Q3

    Answer the following:

    a)

    Derive the expression for transient voltage across the resistor and capacitor when switch SS is on in Fig. 1:

    8 marks
    b)

    In Fig. 2 the switch KK is closed. Find the time when the current from the battery reaches to 500 mA500\text{ mA}.

    6 marks
    Ask AI

  4. Q4

    Answer the following:

    a)

    What is 'network topology'?

    2 marks
    b)

    State the advantages offered by the graph theory as applied to electric circuit problems.

    4 marks
    c)

    Write down the incidence matrix and cut-set matrices for the network shown in Fig. 3:

    8 marks
    Ask AI

  5. Q5

    Answer the following:

    a)

    Discuss the advantages of the Laplace transform method over the conventional classical methods of solving the linear differential equations with constant coefficients.

    3 marks
    b)

    Explain gate function. Obtain the equation of a gate function starting at origin and duration TT.

    3 marks
    c)

    Find the response current of a series RLRL circuit consisting of a resistor R=3 ΩR = 3\text{ }\Omega and an inductor L=1 HL = 1\text{ H} when each of the following driving force voltage is applied:

    8 marks
    Ask AI

  6. Q6

    Answer the following:

    a)

    What are the open-circuit impedance parameters of a two-port network? Why are they so called?

    3 marks
    b)

    What are transmission parameters? Where are they most effectively used?

    3 marks
    c)

    Obtain the $z$-parameters for the circuit shown in Fig. 4:

    8 marks
    Ask AI

  7. Q7

    Answer the following:

    a)

    What are different types of filters?

    4 marks
    b)

    In a series LCRLCR type band-pass filter, L=50 mHL = 50\text{ mH}, C=127 nFC = 127\text{ nF} and R=63 ΩR = 63\text{ }\Omega. Determine (i) the resonance frequency and (ii) the bandwidth.

    4 marks
    c)

    Design a low-pass filter with RCRC and RLRL circuits.

    6 marks
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  8. Q8

    Answer the following:

    a)

    Check whether the following polynomials are Hurwitz or not:

    7 marks
    b)

    Determine whether the following polynomials are positive real:

    7 marks
    Ask AI

  9. Q9

    Answer the following:

    a)

    Find the first and second Cauer forms of LCLC networks for the impedance function: Z(s)=s4+10s2+9s3+4sZ(s) = \frac{s^4+10s^2+9}{s^3+4s}

    7 marks
    b)

    Determine whether the following polynomials are positive real:

    7 marks
    Ask AI

2019031505

B.Tech Examination, 2019

3 hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

Ask AI

  1. Q1

    Write short notes on any seven of the following terms:

    a)

    Laplace transform of tsin⁡tt \sin t

    b)

    Bandwidth

    c)

    Cut-off frequency

    d)

    Initial value theorem and final value theorem

    e)

    Transfer function

    f)

    ABCD parameter

    g)

    Driving point impedance

    h)

    Poles and Zeros of network function

    i)

    Twigs and links

    j)

    Planner and non-planner graphs

    14 marks
    Ask AI

  2. Q2

    Answer the following:

    a)

    In a source-free R-LR\text{-}L circuit at t=0t=0, the current is I0I_0. Obtain the expression of inductor current and voltage at t>0t>0. A 4 H4\text{ H} inductor with initial current 2 A2\text{ A} connected through a resistor R=8 ΩR = 8\text{ }\Omega at t=0t=0. Find the current through inductor for t>0t>0.

    8 marks
    b)

    Find the inverse transform of 7s+5s2+s\frac{7s+5}{s^2+s}.

    6 marks
    Ask AI

  3. Q3

    Answer the following:

    a)

    Define $z$-parameter of two-port network. Write down the condition for reciprocity and symmetry.

    7 marks
    b)

    Obtain $z$-parameters for the network shown in the figure below:

    7 marks
    Ask AI

  4. Q4

    Answer the following:

    a)

    Derive the expression for step response of R-LR\text{-}L circuit with initial inductor current I0I_0. Plot its voltage response and current response.

    6 marks
    b)

    The switch in the figure given below has been closed for a long time. It opens at t=0t=0. Find i(t)i(t) for t>0t>0:

    8 marks
    Ask AI

  5. Q5

    Given the transfer function H(s)=Vo(s)Vi(s)=10s2+3s+10H(s) = \frac{V_o(s)}{V_i(s)} = \frac{10}{s^2+3s+10}. Realize the function using the circuit in the figure given below:

    a)

    Select R=5 ΩR=5\text{ }\Omega, and find LL and CC.

    b)

    Select R=1 ΩR=1\text{ }\Omega, and find LL and CC.

    14 marks
    Ask AI

  6. Q6

    Determine the hybrid parameters for the network in the figure given below:

    14 marks
    Ask AI

  7. Q7

    Determine what type of filter is shown in the figure given below. Calculate the corner or cutoff frequency. Take R=2 kΩR=2\text{ k}\Omega, L=2 HL=2\text{ H} and C=2 μFC=2\text{ }\mu\text{F}:

    14 marks
    Ask AI

  8. Q8

    Fig. I and Fig. II given below show circuit diagram tree and co-tree respectively. Find (a) incidence matrix for the orientation shown, (b) $f$-cut set matrix and (c) $f$-loop matrix:

    14 marks
    Ask AI

  9. Q9

    Answer the following:

    a)

    Write a technical note on Hurwitz polynomials.

    6 marks
    b)

    Test whether the following polynomials is Hurwitz:

    8 marks
    Ask AI

2018031505

B.Tech Examination, 2018

3 hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

Ask AI

  1. Q1

    Choose the correct answer (any seven) :

    a)

    A network has 15 nodes and 12 independent loops. The number of branches in the network is

    a)

    (i) 25

    b)

    (ii) 26

    c)

    (iii) 27

    d)

    (iv) 28

    b)

    The transfer function of a low-pass R-C network is

    a)

    (i) (RCs)(1+RCs)(RCs)(1 + RCs)

    b)

    (ii) 11+RCs\frac{1}{1 + RCs}

    c)

    (iii) RCs1+RCs\frac{RCs}{1 + RCs}

    d)

    (iv) s1+RCs\frac{s}{1 + RCs}

    c)

    A two-port network is symmetrical, if

    a)

    (i) z11z22−z12z21=1z_{11}z_{22} - z_{12}z_{21} = 1

    b)

    (ii) AD−BC=1AD - BC = 1

    c)

    (iii) h11h22−h12h21=1h_{11}h_{22} - h_{12}h_{21} = 1

    d)

    (iv) y11y22−y12y21=1y_{11}y_{22} - y_{12}y_{21} = 1

    d)

    In an m-derived low-pass filter, the value of m is

    a)

    (i) 1−(f∞fc)2\sqrt{1 - (\frac{f_{\infty}}{f_c})^2}

    b)

    (ii) 1−(fcf∞)2\sqrt{1 - (\frac{f_c}{f_{\infty}})^2}

    c)

    (iii) 1+(f∞fc)2\sqrt{1 + (\frac{f_{\infty}}{f_c})^2}

    d)

    (iv) 1+(fcf∞)2\sqrt{1 + (\frac{f_c}{f_{\infty}})^2}

    e)

    The number of roots of s3+5s2+7s+3=0s^3 + 5s^2 + 7s + 3 = 0 in the left half of s-plane is

    a)

    (i) zero

    b)

    (ii) one

    c)

    (iii) two

    d)

    (iv) three

    f)

    A $\pi$-section filter network consists of a series arm inductor of 20 mH and two shunt arm capacitors of 0.16 $\mu$F. The cut-off frequency is

    a)

    (i) 2.5 kHz

    b)

    (ii) 4.3 kHz

    c)

    (iii) 1.5 kHz

    d)

    (iv) 3.98 kHz

    g)

    A two-port network is define by the following pair of equations: I1=2V1+V2I_1 = 2V_1 + V_2, I2=V1+V2I_2 = V_1 + V_2. Its impedance parameters ($z_{11}, z_{12}, z_{21}, z_{22}$) are

    a)

    (i) 2, 1, 1, 1

    b)

    (ii) 1, -1, -1, 2

    c)

    (iii) 1, 1, 1, 2

    d)

    (iv) 2, -1, -1, 1

    h)

    The Laplace transform of 1−e−tt\frac{1 - e^{-t}}{t} is

    a)

    (i) log⁡[ss+1]\log[\frac{s}{s + 1}]

    b)

    (ii) log⁡[1s(s+1)]\log[\frac{1}{s(s + 1)}]

    c)

    (iii) log⁡[s+1s]\log[\frac{s + 1}{s}]

    d)

    (iv) log⁡[s(s+1)]\log[s(s + 1)]

    i)

    Which of the following is the representation of $y$-parameters in terms of $z$-parameters?

    a)

    (i) [z22Δz−z12Δz−z21Δzz11Δz]\begin{bmatrix} \frac{z_{22}}{\Delta z} & \frac{-z_{12}}{\Delta z} \\ \frac{-z_{21}}{\Delta z} & \frac{z_{11}}{\Delta z} \end{bmatrix}

    b)

    (ii) [z11z21Δzz211z21z22z21]\begin{bmatrix} \frac{z_{11}}{z_{21}} & \frac{\Delta z}{z_{21}} \\ \frac{1}{z_{21}} & \frac{z_{22}}{z_{21}} \end{bmatrix}

    c)

    (iii) [1−z12z11z21z11Δzz11]\begin{bmatrix} 1 & \frac{-z_{12}}{z_{11}} \\ \frac{z_{21}}{z_{11}} & \frac{\Delta z}{z_{11}} \end{bmatrix}

    d)

    (iv) [z11Δz1z121z12z22z21]\begin{bmatrix} \frac{z_{11}}{\Delta z} & \frac{1}{z_{12}} \\ \frac{1}{z_{12}} & \frac{z_{22}}{z_{21}} \end{bmatrix}

    j)

    As the poles of a network shift away from the x-axis, the response

    a)

    (i) remains constant

    b)

    (ii) becomes less oscillating

    c)

    (iii) becomes more oscillating

    d)

    (iv) None of the above

    Ask AI

  2. Q2

    Answer the following:

    a)

    Derive the $z$-parameters in terms of ABCD parameters.

    b)

    Obtain the open circuit $z$-parameters of the network shown in Fig. 1 :

    Ask AI

  3. Q3

    For the network shown in Fig. 2, draw the graph, write the tie-set schedule and hence obtain the equilibrium on loop basis. Calculate the values of branch currents and branch voltages :

    Ask AI

  4. Q4

    Answer the following:

    a)

    The switch in the network in Fig. 3 is closed at t=0t = 0. Determine the voltage across the capacitor: Use Laplace transform :

    b)

    In the network of Fig. 4, the switch is closed at t=0t = 0, with the network previously unenergized. Determine currents i1(t)i_1(t) and i2(t)i_2(t). (Use Laplace transform) :

    Ask AI

  5. Q5

    Answer the following:

    a)

    Derive the expression for characteristic impedance of a $\pi$-network. Also, express in terms of open-circuit impedance ($Z_{oc}$) and short-circuit impedance ($Z_{sc}$).

    b)

    Design a band-pass constant kk filter with cut-off frequencies of 3 kHz and 7.5 kHz and nominal characteristic impedance of 900 Ω\Omega. Draw a T-section configuration.

    Ask AI

  6. Q6

    Answer the following:

    a)

    Write the necessary conditions for transfer functions (restrictions on pole and zero).

    b)

    Compute V2/V1V_2/V_1 and I2/I1I_2/I_1, i.e., voltage transfer function and current transfer function respectively for the network shown in Fig. 5 :

    Ask AI

  7. Q7

    Answer the following:

    a)

    Determine the Foster forms of realization of the R-C impedance function (Foster forms I and II) Z(s)=(s+1)(s+4)s(s+2)(s+5)Z(s) = \frac{(s + 1)(s + 4)}{s(s + 2)(s + 5)}.

    b)

    Synthesize the network, if Z(s)=s5+5s3+4ss4+3s2+1Z(s) = \frac{s^5 + 5s^3 + 4s}{s^4 + 3s^2 + 1} as Cauer-I form.

    Ask AI

  8. Q8

    Answer the following:

    a)

    Determine $y$-parameters for the network shown in Fig. 6 :

    b)

    Find the step response of the voltage across the capacitor in the network as shown in Fig. 7 :

    Ask AI

  9. Q9

    Write brief notes on any three of the following :

    a)

    Fundamental circuit matrix and fundamental cut-set matrix (with example)

    b)

    Time domain behaviour from pole-zero plot

    c)

    Classification of filters with characteristics of each

    d)

    Inverse hybrid parameters

    Ask AI

2017031505

B.Tech Examination, 2017

3 hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

Ask AI

  1. Q1

    Choose the correct answer (any seven) :

    a)

    In the circuit of Fig. 1 shown below, the voltage V(t)V(t) is

    a)

    (i) eat−ebte^{at} - e^{bt}

    b)

    (ii) eat+ebte^{at} + e^{bt}

    c)

    (iii) aeat−bebtae^{at} - be^{bt}

    d)

    (iv) aeat+bebtae^{at} + be^{bt}

    b)

    When a unit-impulse voltage is applied to an inductor of 1 H, the energy supplied by the source is

    a)

    (i) ∞\infty

    b)

    (ii) 1 J

    c)

    (iii) 12\frac{1}{2} J

    d)

    (iv) 0

    c)

    The graph of an electrical network has nn nodes and bb branches. The number of links with respect to the choice of a tree is given by

    a)

    (i) b−n+1b - n + 1

    b)

    (ii) b+nb + n

    c)

    (iii) n−b+1n - b + 1

    d)

    (iv) n−2b−1n - 2b - 1

    d)

    A system is represented by the transfer function 10(s+1)(s+2)\frac{10}{(s + 1)(s + 2)}. The DC gain of this system is

    a)

    (i) 1

    b)

    (ii) 2

    c)

    (iii) 5

    d)

    (iv) 10

    e)

    For a two-port network to be reciprocal, then

    a)

    (i) z11=z22z_{11} = z_{22}

    b)

    (ii) y21=y12y_{21} = y_{12}

    c)

    (iii) h21=+h12h_{21} = +h_{12}

    d)

    (iv) AD−BC=0AD - BC = 0

    f)

    The passband of a typical filter network with z1z_1 and z2z_2 as the series and shunt-arm impedances is characterized by

    a)

    (i) −1<z14z2<0-1 < \frac{z_1}{4z_2} < 0

    b)

    (ii) −1<z14z2<1-1 < \frac{z_1}{4z_2} < 1

    c)

    (iii) 0<z14z2<10 < \frac{z_1}{4z_2} < 1

    d)

    (iv) None of the above

    g)

    If F1(s)F_1(s) and F2(s)F_2(s) are two positive real functions, then the function which is always positive real, is

    a)

    (i) F1(s)F2(s)F_1(s) F_2(s)

    b)

    (ii) F1(s)F2(s)\frac{F_1(s)}{F_2(s)}

    c)

    (iii) F1(s)F2(s)F1(s)+F2(s)\frac{F_1(s) F_2(s)}{F_1(s) + F_2(s)}

    d)

    (iv) F1(s)−F2(s)F_1(s) - F_2(s)

    h)

    Each of the two series elements of a T-section low-pass filter consists of an inductor of 60 mH having negligible resistance and a shunt element having a capacitance of 0.2 $\mu$F. The nominal impedance is

    a)

    (i) 547.72 k$\Omega$

    b)

    (ii) 54.72 k$\Omega$

    c)

    (iii) 547.72 Ω\Omega

    d)

    (iv) 5.477 Ω\Omega

    i)

    For a two-port symmetrical bilateral network, if A=3A = 3 and B=1B = 1, the value of the parameter CC will be

    a)

    (i) 4

    b)

    (ii) 6

    c)

    (iii) 16

    d)

    (iv) 8

    j)

    The Laplace transform of a unit-ramp function starting at t=at = a is

    a)

    (i) 1(s+a)2\frac{1}{(s + a)^2}

    b)

    (ii) e−as(s+a)2\frac{e^{-as}}{(s + a)^2}

    c)

    (iii) e−ass2\frac{e^{-as}}{s^2}

    d)

    (iv) as2\frac{a}{s^2}

    Ask AI

  2. Q2

    Answer the following:

    a)

    Derive ABCDABCD parameters in terms of $y$-parameters.

    b)

    Determine the $y$-parameters for the two-port shown in Fig. 2 below:

    Ask AI

  3. Q3

    For the network shown in Fig. 3 below, draw network graph, selecting 2, 4, 5 as tree branches. Obtain loop incidence matrix and loop equations:

    Ask AI

  4. Q4

    In the network shown in Fig. 4 below, the switch is closed at t=0t = 0. Find the currents i1(t)i_1(t) and i2(t)i_2(t) when initial current through the inductor is zero and initial voltage on the capacitor is 4 V:

    Ask AI

  5. Q5

    Answer the following:

    a)

    For the network shown in Fig. 5 below, find G21=V2/V1G_{21} = V_2/V_1:

    b)

    Define driving-point functions. Write down driving-point functions for a two-port network.

    Ask AI

  6. Q6

    Derive the following expressions for a constant kk high-pass filter:

    a)

    Nominal impedance

    b)

    Cut-off frequency

    c)

    Attenuation constant

    d)

    Phase constant

    e)

    Characteristic impedance

    f)

    Design of filter

    Ask AI

  7. Q7

    Answer the following:

    a)

    Realize the foster form of the following impedance function: Z(s)=s(s2+4)2(s2+1)(s2+9)Z(s) = \frac{s(s^2 + 4)}{2(s^2 + 1)(s^2 + 9)}

    b)

    Realize the Cauer-II form of the following impedance function: Z(s)=8(s2+1)(s2+3)s(s2+2)(s2+4)Z(s) = \frac{8(s^2 + 1)(s^2 + 3)}{s(s^2 + 2)(s^2 + 4)}

    Ask AI

  8. Q8

    Answer the following:

    a)

    Find the short-circuit and open-circuit impedances of the network shown in Fig. 6 below and hence obtain its π\pi equivalent:

    b)

    In the circuit of Fig. 7 below, switch SS is closed and steady-state conditions reached. Now at time t=0t = 0, switch SS is opened. Obtain the expression for the current through the inductor:

    Ask AI

  9. Q9

    Write brief notes about the following:

    a)

    Incidence matrix

    b)

    Loop matrix or circuit matrix

    c)

    Transfer functions in two-port network

    Ask AI

2017031605

B.Tech Examination, 2017

3 hours70 marks

Instructions

  • The marks are indicated in the right-hand margin.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

Ask AI

  1. Q1

    Choose the correct answer of any seven questions. 2×7=142 \times 7 = 14

    a)

    A dc voltage source is connected across a series R-L-C circuit. Under steady-State conditions the applied voltage drops entirely across the

    a)

    (a) R only

    b)

    (b) L only

    c)

    (c) C only

    d)

    (d) R and L only

    b)

    In terms of ABCD parameters, a two-port network is symmetrical if and only if

    a)

    (a) A=BA = B

    b)

    (b) B=CB = C

    c)

    (c) C=DC = D

    d)

    (d) D=AD = A

    c)

    Two two-port networks α\alpha and β\beta having ABCD parameters as Aα=Dα=4,Aβ=Dβ=3,Bα=5,Cα=3A_{\alpha} = D_{\alpha} = 4, A_{\beta} = D_{\beta} = 3, B_{\alpha} = 5, C_{\alpha} = 3 and Bβ=4B_{\beta} = 4 and Cβ=2C_{\beta} = 2 are connected in cascade in order of α,β\alpha, \beta. The equivalent 'A' parameter of the combination is

    a)

    (a) 17

    b)

    (b) 22

    c)

    (c) 24

    d)

    (d) 31

    d)

    The number of links for a network graph having 'n' nodes and 'b' branches is

    a)

    (a) b−n+1b - n + 1

    b)

    (b) n−b+1n - b + 1

    c)

    (c) b+n−1b + n - 1

    d)

    (d) b−nb - n

    e)

    For a given network the reduced incidence matrix is given as Ai=[123456710010−11−1−110000010−1100]Ai = \begin{bmatrix} 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 1 & 0 & 0 & 1 & 0 & -1 & 1 \\ -1 & -1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & -1 & 1 & 0 & 0 \end{bmatrix} The parallel branches in the graph are

    a)

    (a) 1 and 2

    b)

    (b) 2 and 3

    c)

    (c) 6 and 7

    d)

    (d) none of these

    f)

    For a transfer function H(s)=P(s)Q(s)H(s) = \frac{P(s)}{Q(s)},

    a)

    (a) the degree of P(s)P(s) is always greater than the degree of Q(s)Q(s)

    b)

    (b) the degree of P(s)P(s) and Q(s)Q(s) are the same

    c)

    (c) the degree of P(s)P(s) is independent of the degree of Q(s)Q(s)

    d)

    (d) the maximum degree of P(s)P(s) and Q(s)Q(s) differ at the most by one

    g)

    The driving point impedance of the circuit shown in Fig. 1 is given by Z(s)=0.2ss2+0.1s+2Z(s) = \frac{0.2s}{s^2 + 0.1s + 2} the component values are

    a)

    (a) L=5 H,R=0.5Ω,C=0.1 FL = 5 \text{ H}, R = 0.5 \Omega, C = 0.1 \text{ F}

    b)

    (b) L=0.1 H,R=0.5Ω,C=5 FL = 0.1 \text{ H}, R = 0.5 \Omega, C = 5 \text{ F}

    c)

    (c) L=5 H,R=2Ω,C=0.1 FL = 5 \text{ H}, R = 2 \Omega, C = 0.1 \text{ F}

    d)

    (d) L=0.1 H,R=2Ω,C=5 FL = 0.1 \text{ H}, R = 2 \Omega, C = 5 \text{ F}

    h)

    The first critical frequency nearest to the origin of the complex frequency plane for an R-L driving impedance function will be

    a)

    (a) a zero in the left-half plane

    b)

    (b) a zero in the right-half plane

    c)

    (c) a pole in the left-half plane

    d)

    (d) either a pole or a zero in the left-half plane depending on the connection

    i)

    A band stop filter

    a)

    (a) attenuates frequencies lying between two cut-off frequencies f1f_1 and f2f_2 and passes all other frequencies.

    b)

    (b) attenuates all frequencies less than lower cut-off frequency.

    c)

    (c) attenuates all frequencies above the cut-off frequency, f2f_2.

    d)

    (d) passes frequencies between the two cut-off frequencies, f1f_1 and f2f_2.

    j)

    For a proto-type filter, the ZoZ_o value is

    a)

    (a) resistive in pass band

    b)

    (b) inductive in pass band

    c)

    (c) capacitive in pass band

    d)

    (d) complex impedance in pass band

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  2. Q2

    Answer the following:

    a)

    Find the current iL(t)i_L(t) for t>0t > 0 in the circuit shown in Fig. 2 using Laplace transform. (7 marks)

    b)

    Determine i(t)i(t) and v(t)v(t) for t>0t > 0 for the circuit shown in Fig. 3. The switch is closed at t=0t = 0. using Laplace transfer (7 marks)

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  3. Q3

    For the circuit shown in Fig. 4, find poles, zeros and scale factor of the transfer impedance function, Z12(s)=V2(s)/I1(s)Z_{12}(s) = V_2(s)/I_1(s). (14 marks)

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  4. Q4

    Answer the following:

    a)

    For the circuit shown in Fig. 5 determine the hybrid parameters. (7 marks)

    b)

    Find V1V_1 and V2V_2 in the network shown in Fig. 6 if y$-parameters are $Y_{11} = \frac{3}{2}\mho, Y_{22} = \frac{5}{6}\mho, Y_{12} = Y_{21} = -\frac{1}{2}\mho. (7 marks)

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  5. Q5

    For the network shown in Fig. 7, write the tie-set matrix and determine the loop currents and branch currents using network graph theory. (14 marks)

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  6. Q6

    Answer the following:

    a)

    Synthesize the impedance function Z(s)=(s2+1)(s2+3)s(s2+2)Z(s) = \frac{(s^2 + 1)(s^2 + 3)}{s(s^2 + 2)} in second cauer form. (7 marks)

    b)

    Synthesize the impedance function Z(s)=(s+1)(s+5)(s+3)(s+7)Z(s) = \frac{(s + 1)(s + 5)}{(s + 3)(s + 7)} in first Foster form. (7 marks)

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  7. Q7

    For passive filter, derive the fundamental filter equation, with the help of this equation, derive the expressions for cut-off, frequency, attenuation constant and phase shift constant for constant-K low-pass filter. (14 marks)

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  8. Q8

    Answer the following:

    a)

    In the circuit shown in Fig. 8, the switch is moved from a to b at t=0t = 0. Using Laplace transform find i(t)i(t) for t>0t > 0, assuming that the switch was at position a for a long time. (7 marks)

    b)

    Derive the reciprocity condition for a two-port network in terms of h-parameters. (7 marks)

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  9. Q9

    Answer the following:

    a)

    A reduced incidence matrix of a network graph is given below. Draw the oriented graph. Ai=[1100001−1−11000000−11100000−1−1−10]Ai = \begin{bmatrix} 1 & 1 & 0 & 0 & 0 & 0 & 1 \\ -1 & -1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & -1 & -1 & -1 & 0 \end{bmatrix} (7 marks)

    b)

    Check the positive realness of the function F(s)=s2+s+6s2+s+1F(s) = \frac{s^2 + s + 6}{s^2 + s + 1}. (7 marks)

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2016031505

B.Tech Examination, 2016

3 hours70 marks

Instructions

  • There are Nine Questions in this paper.
  • Attempt Five questions in all.
  • Question No. 1 is compulsory.
  • The marks are indicated in the right-hand margin.

Questions

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  1. Q1

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  2. Q2

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  3. Q3

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  4. Q4

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  5. Q5

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  6. Q6

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  7. Q7

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  8. Q8

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  9. Q9

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2015031505

B.Tech Examination, 2015

3 hours70 marks

Instructions

  • All questions carry equal marks.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

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  1. Q1

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  2. Q2

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  3. Q3

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  4. Q4

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  5. Q5

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  6. Q6

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  7. Q7

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  8. Q8

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  9. Q9

    Answer the following:

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2014031505

B.Tech Examination, 2014

3 hours70 marks

Instructions

  • All questions carry equal marks.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

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  1. Q1

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  2. Q2

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  3. Q3

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  4. Q4

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  5. Q5

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  6. Q6

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  7. Q7

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  8. Q8

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  9. Q9

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2013031505

B.Tech Examination, 2013

3 hours70 marks

Instructions

  • All questions carry equal marks.
  • There are NINE questions in this paper.
  • Attempt FIVE questions in all.
  • Question No. 1 is compulsory.

Questions

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  1. Q1

    Answer the following:

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  2. Q2

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  3. Q3

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  4. Q4

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  5. Q5

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  6. Q6

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  7. Q7

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  8. Q8

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  9. Q9

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