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QUESTION: 1

In a non-conducting medium characterized by **ε = ε _{0} ,**

Solution:

We known

QUESTION: 2

Two conducting plates of infinite extent, one plate at ** z = 0** and other at

The energy density at ** z = 0, t = 0** and α = π/2

Solution:

QUESTION: 3

Which one of the following current densities, can generate the magnetic vector potential

Solution:

We know that

QUESTION: 4

The amplitudes of electric and magnetic fields are related to each other by the relation

Solution:

Maxwell’s equation in free space are

Eq. (i) becomes

This equation in term of modulo

QUESTION: 5

A plane electromagnetic wave E_{2} = 100cos(6 × 10^{8}t + 4x)V/m propagates in a medium. Find the value of dielectric constant of the medium.

Solution:

We have *E*_{2} = 100 cos (6 × 10^{8}*t* + 4*x*) ....(i)

Comparing this with

we get ....(ii)

*k* = 4 ....(iii)

Velocity of emf is given = ω/k

By Eq. (iii) refractive index of the medium

⇒ n = 2 ...(v)

The dielectric constant *k* = (*n*^{2})

*k* = (2)^{2}

*k* = 4.0

The correct answer is: 4.0

QUESTION: 6

Which of the following expressions for a vector potential does not represent a uniform magnetic field of magnitude along the z-direction?

Solution:

Vector Potential

So, Magnetic field can be written as.

⇒

∵ B_{0} is not along *z*-direction.

satisfies the above condition.

The correct answer is:

QUESTION: 7

An infinitely long hollow cylinder of radius R carrying a surface charge density σ is rotated about its cylindrical axis with a constant angular speed ω. The magnitude of the surface current is

Solution:

Applying Ampere’s law

The correct answer is: σR^{2}ω

QUESTION: 8

In a homogeneous non-conducting region where μ_{r} = 1, the value of ε_{r} will be:

Given

Solution:

The correct answer is: 16

QUESTION: 9

The time averaged Poynting vector, in W/m^{2}, for a wave with in free space

Solution:

Time average Poynting vector

The correct answer is:

QUESTION: 10

Given in free space, then will be given as

Solution:

The correct answer is:

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