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QUESTION: 1

A capacitor (parallel plate) is being charged at a constant rate dθ/dt = b. If *S* is the area of the plates and * d* is separation between them, displacement current is

Solution:

Displacement current

The correct answer is: b

QUESTION: 2

A constant current * I* is flowing through a cylindrical conductor, the direction of Poynting vector is

Solution:

Let us suppose that direction of* I* of

Which drives the current.

∴ Direction of Poynting

The correct answer is:

QUESTION: 3

If is current density and ρ is the electric charge density then the equation represents

Solution:

If *I* is current, then where is known as current density.

By divergence theorem

This is known as equation of continuity.

The correct answer is: continuity equation

QUESTION: 4

Which one of the following Maxwell’s equations implies the absence of magnetic monopoles?

Solution:

Hence, it satisfies that there is no magnetic monopole.

QUESTION: 5

If is an electric field and is magnetic induction, then the energy per unit area per unit time in electromagnetic field is given by

Solution:

The correct answer is:

QUESTION: 6

The total energy stored in electromagnetic field is

Solution:

Total energy stored in electromagnetic field is equal to sum of the energy due to the electric field (*E _{e}*) and the energy due to magnetic field (

QUESTION: 7

What is the Poynting vector at the surface of a long cylindrical wire of radius * R*, length

Solution:

The rate of flowing energy per unit area along a plane perpendicular to the direction of the wave motion is called Poynting vector denoted by letter * S* and is given as

Thus, Poynting vector

Curved surface area of its cylinder = 2πrL

QUESTION: 8

With an electromagnetic wave propagating in space, the total electromagnetic energy in a certain volume *V* can be written as which form ?

Solution:

The correct answer is: Essentially the rate at which at electric field is doing work on charges in the volume *V * i.e.,

QUESTION: 9

A plane electromagnetic wave is given by At a given location, the number of times vanishes in 1s is

Solution:

The plane electromagnetic wave is

The frequency of the wave is f = ω/2π

Hence, *E * vanishes ω/2π in 1s which is independent of δ.

The correct answer is: an integer near ω/2π and is independent of δ

QUESTION: 10

The electric and magnetic fields in the space are being unit vectors in *x* and *y* directions respectively. The Poynting vector in this region is

Solution:

The rate of transmission of electromagnetic energy per unit area through a plane perpendicular to the direction of propagation of the electromagnetic waves is known as Poynting vector denoted by letter and is given as

The correct answer is:

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