Physics (Electromagnetism)

The curl of electric field is

Faraday cage protects from lightning strike because the cage material is

Magnetic monopoles do not exist because

Ampere’s law is incomplete because

Which of the following is true

For a constant magnetic field $ \vec{B} = B_0 \vec{k} $ the vector potential $ \vec{A} $ is

If you put a Dielectric slab between the plates of a parallel plate capacitor

Magnetic susceptibility of diamagnetic material is

Lenz’s law is consequence of the law of conservation of

Which of the following is not true about the electromagnetic waves

Show that (i) electrostatic field is always normal to the surface of a conductor and (ii) electrostatic potential is always constant inside conductor.

If $ \vec{E} = a (y\hat{\mathbf{i}} - x\hat{\mathbf{j}}) $ show if this electrostatic field can exist or not.

The electric field E in the x-y plane is given by $ \vec{E} = 2cx\hat{\mathbf{i}} + ay\hat{\mathbf{j}} $, where c and a are constant, what is the charge density responsible for this field?

A spherical conductor contain a uniform surface charge density $\sigma$ determine the field and potential due to charge distribution.

State Gauss’s law of electrostatics. Derive differential form of Gauss’s law.

Obtain detailed boundary conditions on the electric field and electric displacement.

What is electric dipole? Define its dipole moment.

Find expression for the field and potential due to electric dipole.

Write brief technical notes on ferromagnetic, paramagnetic and diamagnetic material.

What is magnetic vector potential? A current distribution gives rise to magnetic vector potential, $\vec{A}(x,y,z) = x^2y\hat{\mathbf{i}} + y^2x\hat{\mathbf{j}} - xyz\hat{k}$, find the magnetic field at $(-1,2,3)$.

Derive the expression for the energy stored in a magnetic field.

Starting from the Faraday’s law obtain its differential form. Establish the equivalence of Faraday’s law and motional emf.

State and discuss Lenz’s law.

Obtain the continuity equation for charge and use it to modify Ampere’s law to include displacement current.

State and derive Poynting’s theorem.

Derive the electromagnetic wave equation in vacuum. Prove the transverse nature of plane wave.

For a plane wave given as $ \vec{E}(\vec{x},t) = A \sin(\vec{k}.\vec{\mathbf{x}} - \omega t)$ find (i) the magnetic field (ii) direction of propagation (iii) Poynting vector and (iv) the energy density.

Starting with general Maxwell’s equation derive Maxwell’s equation in a linear medium with permittivity $\epsilon$ and permeability $\mu$.

Write a technical note on the Method of Images. Mention the significance of uniqueness theorem as a basis for the method.

The curl of electric field is

Faraday cage protects from lightning strike because the cage material is

Magnetic monopoles do not exist because

Ampere’s law is incomplete because

Which of the following is true

For a constant magnetic field $ \vec{B} = B_0 \vec{k} $ the vector potential $ \vec{A} $ is

If you put a Dielectric slab between the plates of a parallel plate capacitor

Magnetic susceptibility of diamagnetic material is

Lenz’s law is consequence of the law of conservation of

Which of the following is not true about the electromagnetic waves

Show that (i) electrostatic field is always normal to the surface of a conductor and (ii) electrostatic potential is always constant inside conductor.

If $ \vec{E} = a (y\hat{\mathbf{i}} - x\hat{\mathbf{j}}) $ show if this electrostatic field can exist or not.

The electric field E in the x-y plane is given by $ \vec{E} = 2cx\hat{\mathbf{i}} + ay\hat{\mathbf{j}} $, where c and a are constant, what is the charge density responsible for this field?

A spherical conductor contain a uniform surface charge density $\sigma$ determine the field and potential due to charge distribution.

State Gauss’s law of electrostatics. Derive differential form of Gauss’s law.

Obtain detailed boundary conditions on the electric field and electric displacement.

What is electric dipole? Define its dipole moment.

Find expression for the field and potential due to electric dipole.

Write brief technical notes on ferromagnetic, paramagnetic and diamagnetic material.

What is magnetic vector potential? A current distribution gives rise to magnetic vector potential, $\vec{A}(x,y,z) = x^2y\hat{\mathbf{i}} + y^2x\hat{\mathbf{j}} - xyz\hat{k}$, find the magnetic field at $(-1,2,3)$.

Derive the expression for the energy stored in a magnetic field.

Starting from the Faraday’s law obtain its differential form. Establish the equivalence of Faraday’s law and motional emf.

State and discuss Lenz’s law.

Obtain the continuity equation for charge and use it to modify Ampere’s law to include displacement current.

State and derive Poynting’s theorem.

Derive the electromagnetic wave equation in vacuum. Prove the transverse nature of plane wave.

For a plane wave given as $ \vec{E}(\vec{x},t) = A \sin(\vec{k}.\vec{\mathbf{x}} - \omega t)$ find (i) the magnetic field (ii) direction of propagation (iii) Poynting vector and (iv) the energy density.

Starting with general Maxwell’s equation derive Maxwell’s equation in a linear medium with permittivity $\epsilon$ and permeability $\mu$.

Write a technical note on the Method of Images. Mention the significance of uniqueness theorem as a basis for the method.

Define electric polarization.

Write down Laplace’s equation.

Define displacement current.

What is the physical interpretation of bound charges?

Define diamagnetism. Give two examples of diamagnetic materials.

With necessary expression, explain standing wave ratio.

What do you mean by skin effect?

Explain the terms motional e.m.f. and transformer e.m.f.

Differentiate between conduction and convection current.

What is meant by retarded potential?

Find the electric field at a distance $ z $ above the centre of a circular loop (radius R) carrying uniform linear charge $ \lambda $.

Write down the expression for electric field due to surface charge distribution of volume charge density $ \rho $.

Derive the expression for Transmission coefficient of electromagnetic waves from a non-conducting medium–vacuum interface for normal incidence.

A point charge $ q $ is situated at a distance a from the centre of a grounded conduction sphere of radius R. Using the method of images, find the potential outside the sphere.

Explain Faraday cage? What is the electrical force inside a Faraday cage when it is struck by lightning?

Derive continuity equation for current densities.

State and derive Poynting theorem.

Derive the boundary conditions for electrostatic field intensity and electric flux density at (i) the interface between two dielectrics and (ii) the interface between a perfect conductor and a dielectric.

A long spherical cloud of radius $ r $ has a uniform volume charge distribution of $ \rho_v $. Calculate the potential distribution and the electric field at any point in space using Poisson’s and Laplace’s equations.

A solenoid of radius 4 mm and length 2 cm has 150 turns/m and carries current 500 mA. Find- (i) $ |H| $ at the centre (ii) $ |H| $ at the ends of the solenoid.

Determine whether the following potential equations satisfy Laplace's equation or not: (i) $ V = 2x^2 - 4y^2 + z^2 $ (ii) $ V = r^2 \cos \phi + \theta $.

State Ampere's circuit law. Write its application.

A hollow conducting cylinder has inner radius a and outer radius b and carries current I along the positive z-direction. Find H everywhere.

Define electric polarization.

Write down Laplace’s equation.

Define displacement current.

What is the physical interpretation of bound charges?

Define diamagnetism. Give two examples of diamagnetic materials.

With necessary expression, explain standing wave ratio.

What do you mean by skin effect?

Explain the terms motional e.m.f. and transformer e.m.f.

Differentiate between conduction and convection current.

What is meant by retarded potential?

Find the electric field at a distance $z$ above the centre of a circular loop (radius R) carrying uniform linear charge $\lambda$.

Write down the expression for electric field due to surface charge distribution of volume charge density $\rho$.

Derive the expression for Transmission coefficient of electromagnetic waves from a non-conducting medium–vacuum interface for normal incidence.

A point charge $q$ is situated at a distance a from the centre of a grounded conduction sphere of radius R. Using the method of images, find the potential outside the sphere.

Explain Faraday cage? What is the electrical force inside a Faraday cage when it is struck by lightning?

Derive continuity equation for current densities.

State and derive Poynting theorem.

Derive the boundary conditions for electrostatic field intensity and electric flux density at (i) the interface between two dielectrics and (ii) the interface between a perfect conductor and a dielectric.

A long spherical cloud of radius $r$ has a uniform volume charge distribution of $ \rho_v $. Calculate the potential distribution and the electric field at any point in space using Poisson’s and Laplace’s equations.

A solenoid of radius 4 mm and length 2 cm has 150 turns/m and carries current 500 mA. Find- (i) $|H|$ at the centre (ii) $|H|$ at the ends of the solenoid.

Determine whether the following potential equations satisfy Laplace's equation or not: (i) $ V = 2x^2 - 4y^2 + z^2 $(ii)$ V = r^2 \cos \phi + \theta $.

State Ampere's circuit law. Write its application.

A hollow conducting cylinder has inner radius a and outer radius b and carries current I along the positive z-direction. Find H everywhere.

• Transverse nature of electromagnetic waves propagating in vacuum
• Energy carried by electromagnetic waves
• Electromagnetic braking and its application
• Electric field due to electric dipole