GATE PH Electromagnetic Theory PYQs & Answers — Page 6

Questions 51–60 of 76. Imported answers require independent review unless marked reviewed.

A plane electromagnetic wave of wavelength

is incident on a circular loop of conducting wire. The loop radius is

(

). The angle (in degrees) made by the Poynting vector with the normal to the plane of the loop to generate a maximum induced electrical signal, is _____.

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A sinusoidal voltage of the form

is applied across a parallel plate capacitor placed in vacuum. Ignoring the edge effects, the induced emf within the region between the capacitor plates can be expressed as a power series in

. The lowest non-vanishing exponent in

is _____.

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The electric field of an electromagnetic wave is given by

. The wave is

Your answerChoose one option.

linearly polarized at an angle

from the

-axis

linearly polarized at an angle

from the

-axis

elliptically polarized in clockwise direction when seen travelling towards the observer

elliptically polarized in counter-clockwise direction when seen travelling towards the observer

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An infinitely long thin cylindrical shell has its axis coinciding with the

-axis. It carries a surface charge density

, where

is the polar angle and

is a constant. The magnitude of the electric field inside the cylinder is

Your answerChoose one option.

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A circular loop made of a thin wire has radius 2 cm and resistance 2

. It is placed perpendicular to a uniform magnetic field of magnitude

Tesla. At time

the field starts decaying as

, where

s. The total charge that passes through a cross section of the wire during the decay is

. The value of

C (rounded off to two decimal places) is

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The electric field of an electromagnetic wave in vacuum is given by

The wave is reflected from the

surface. If the pressure exerted on the surface is

, the value of

(rounded off to one decimal place) is

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A solid cylinder of radius

has total charge

distributed uniformly over its volume. It is rotating about its axis with angular speed

. The magnitude of the total magnetic moment of the cylinder is

Your answerChoose one option.

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In a set of

successive polarizers, the

polarizer makes an angle

with the vertical. A vertically polarized light beam of intensity

is incident on two such sets with

and

, where

. Let the intensity of light beams coming out be

and

, respectively. Which of the following statements is correct about the two outgoing beams?

Your answerChoose one option.

; the polarization in each case is vertical

; the polarization in each case is horizontal

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An infinitely long wire parallel to the

-axis is kept at

and carries a current

in the positive

direction above a superconductor filling the region

(see figure).

The magnetic field

inside the superconductor is zero so that the field just outside the superconductor is parallel to its surface. The magnetic field due to this configuration at a point

Your answerChoose one option.

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The vector potential inside a long solenoid, with

turns per unit length and carrying current

, written in cylindrical coordinates is

. If the term

, where

is added to

, the magnetic field remains the same if

Your answerChoose one option.

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GATE PH Electromagnetic Theory PYQs

Question 45

Question 47

Question 14

Question 16

Question 19

Question 20

Question 29

Question 37

Question 39

Question 40