GATE PH topic:electromagnetic-theory PYQs & Answers — Page 5

Questions 41–50 of 76. Imported answers require independent review unless marked reviewed.

Consider a point charge

of mass

suspended by a mass, inextensible string of length

in free space (permittivity

) as shown in the figure. It is placed at a height

(

) over an infinitely large, grounded conducting plane. The gravitational potential energy is assumed to be zero at the position of the conducting plane and is positive above the plane. If

represents the angular position and

its corresponding canonical momentum, then the correct Hamiltonian of the system is

Your answerChoose one option.

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Consider two concentric conducting spherical shells as shown in the figure. The inner shell has a radius

and carries a charge +Q. The outer shell has a radius

and carries a charge

. The empty space between them is half-filled by a hemispherical shell of a dielectric having permittivity

. The remaining space between the shells is filled with air having the permittivity

The electric field at a radial distance

from the center and between the shells (

) is

Your answerChoose one option.

everywhere

on the air side and

on the dielectric side

on the air side and

on the dielectric side

everywhere

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Consider a cross-section of an electromagnet having an air-gap of 5 cm as shown in the figure. It consists of a magnetic material (

) and is driven by a coil having

A, where

is the number of turns and

is the current in Ampere.

Ignoring the fringe fields, the magnitude of the magnetic field

(in Tesla, rounded off to two decimal places) in the air-gap between the magnetic poles is _____.

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A medium (

) is semi-transparent to an electromagnetic wave when

Your answerChoose one option.

Conduction current

Displacement current

Conduction current

Displacement current

Conduction current

Displacement current

Both Conduction current and Displacement current are zero

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Which one of the following relations determines the manner in which the electric field lines are refracted across the interface between two dielectric media having dielectric constants

and

(see figure)?

Your answerChoose one option.

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and

are the electric and magnetic fields respectively, then

Your answerChoose one option.

odd under parity and even under time reversal

even under parity and odd under time reversal

odd under parity and odd under time reversal

even under parity and even under time reversal

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Far from the Earth, the Earth’s magnetic field can be approximated as due to a bar magnet of magnetic pole strength

. Assume this magnetic field is generated by a current carrying loop encircling the magnetic equator. The current required to do so is about

, where

is an integer. The value of

is _____. (Earth’s circumference:

)

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A conducting sphere of radius 1 m is placed in air. The maximum number of electrons that can be put on the sphere to avoid electrical breakdown is about

, where

is an integer. The value of

is _____. Assume: Breakdown electric field strength in air is

V/m; Permittivity of free space

F/m; Electron charge

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A uniform magnetic field

exists in an inertial frame

. A perfect conducting sphere moves with a constant velocity

with respect to this inertial frame. The rest frame of the sphere is

(see figure). The electric and magnetic fields in

and

are related as

The induced surface charge density on the sphere (to the lowest order in

) in the frame

Your answerChoose one option.

maximum along

uniform over the sphere

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A charge

moving with uniform speed enters a cylindrical region in free space at

and exits the region at

(see figure). Which one of the following options best describes the time dependence of the total electric flux

, through the entire surface of the cylinder?

Your answerChoose one option.

Diagram for Physics question 34 (figure 2)

Diagram for Physics question 34 (figure 3)

Diagram for Physics question 34 (figure 4)

Diagram for Physics question 34 (figure 5)

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GATE PH topic:electromagnetic-theory PYQs

Question 30

Question 31

Question 53

Question 9

Question 13

Question 14

Question 18

Question 24

Question 33

Question 34