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QUESTION: 1

Consider the following statements associated with an electromagnetic wave in free space:

- At every point in space, the electric field and th emagnetic vector field are perpendicular to each other and to the direction of propagation.
- Velocity of propagation of wave in free space is equal to
- oscillate in phase opposition and the ratio of their amplitude is constant being equal to
- Whatever may be the frequency , the electromagnetic wave travels in space with velocity of light.

Which of the above statements are correct?

Solution:

- Velocity of propagation of EM-wave in free space is equal = speed of light (3 x 10
^{8}m/s). Hence statement-2 is not correct. - oscillate in phase and the ratio of their amplitude is constant being equal to . Hence, statement-3 is not correct.

Thus, statements-1 and 4 are only correct.

QUESTION: 2

Intrinsic impedance or charcteristic impedance of the non-conducting medium in the free space is

Solution:

Intrinsic impedance or characteristic impedance of the non-conducting medium in free space is given as

QUESTION: 3

If the magnitude of in a plane wave is 1 V/m, what is the magnitude of H for a plane wave in free space?

Solution:

We know that,

QUESTION: 4

What is the velocity of a plane wave in a lossless medium having a relative permittivity of 5 and relative permeability of unity?

Solution:

Velocity of propagation is given by

QUESTION: 5

A plane wave in free space has an average Poynting vector of 1 Wm^{-2}. The average energy density is

Solution:

Poynting vector P= EH and total energy density W= μH^{2}.

QUESTION: 6

Infree space are respectively given by and The value of β and H_{0} are respectively

Solution:

This is a plane wave.

For plane wave in space,

QUESTION: 7

In a homogeneous non-conducting region where The value of ∈_{r} and ω are

Solution:

QUESTION: 8

In free space it is given that,

Solution:

Looking at the phase we can find that direction of propagation is +z.

Since must also lie in a + z direction, A must have the direction

QUESTION: 9

Assertion (A): Uniform plane electromagnetic waves are transverse in nature.

Reason (R): Uniform plane electromagnetic

waves have components of only in direction perpendicular to the direction of propagation and not in the direction of propagation.

Solution:

QUESTION: 10

Assertion (A): The term is sometimes referred to the loss tangent.

Reason (R): The two vectors J_{c} (conduction current density) and J_{d} (displacement current density) are 180° out of phase and are in the opposite direction in space.

Solution:

which indicates that the two vectors J_{c} and J_{d} are out of phase in time and are in the same direction in the space. Hence, reason is not a correct statement.

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