GATE PH topic:electromagnetic-theory PYQs & Answers — Page 2

Questions 11–20 of 76. Imported answers require independent review unless marked reviewed.

The wire loop shown in the figure carries a steady current

. Each straight section of the loop has length

. A part of the loop lies in

plane and the other part is tilted at

with respect to the

plane. The magnitude of the magnetic dipole moment of the loop (in appropriate units) is

Your answerChoose one option.

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A thin circular ring of radius

lies in the

plane with its centre coinciding with the origin. The ring carries a uniform line charge density

. The quadrupole contribution to the electrostatic potential at the point

, where

, is

Your answerChoose one option.

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A point charge

is placed at a distance

above an infinite, grounded conducting plate placed on the

plane at

. The electrostatic potential in

region is given by

, where

and

. Which of the following option(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

The magnitude of the force experienced by the point charge

The electrostatic energy of the system is

The induced surface charge density on the plate is proportional to

The electrostatic potential

satisfies Poisson’s equation for

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A neutral conducting sphere of radius

is placed in a uniform electric field of magnitude

, that points along the

axis. The electrostatic potential at any point

outside the sphere is given by

, where

is the constant potential of the sphere. Which of the following option(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

The induced surface charge density on the sphere is proportional to

The electric field at any point is curl free for

The electric field at any point is divergence free for

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A point charge

is placed at the origin, inside a linear dielectric medium of infinite extent, having relative permittivity

. Which of the following option(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

The magnitude of the polarization varies as

The magnitude of the screened charge due to the dielectric medium is less than the magnitude of the point charge

for

The magnitude of the screened charge due to the dielectric medium is more than the magnitude of the point charge

for

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A linear magnetic material in the form of a cylinder of radius

and length

is placed with its axis parallel to the

axis. The cylinder has uniform magnetization

. Which of the following option(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

The magnetic field at any point outside the cylinder can be expressed as the gradient of a scalar function

The bound volume current density is zero

The surface current density on the curved surface is non-zero

The surface current densities on the flat surfaces (top and bottom) are non-zero

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An unpolarized plane electromagnetic wave in a dielectric medium 1 is incident on a plane interface that separates medium 1 from another dielectric medium 2. Medium 1 and medium 2 have refractive indices

and

, respectively, with

. If the angle of incidence is

, which one of the following statements is true?

Your answerChoose one option.

The reflected wave is unpolarized

The reflected wave is polarized parallel to the plane of incidence

The reflected wave is polarized perpendicular to the plane of incidence

There is no transmitted wave

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An infinitely long cylinder of radius

carries a frozen-in magnetization

, where

is a constant and

is the distance from the axis of cylinder. The magnetic permeability of free space is

. There is no free current present anywhere. The magnetic flux density (

) inside the cylinder is

Your answerChoose one option.

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The electric field in a region depends on the

and

coordinates as

where

is a constant. The flux of

through the surface of a sphere of radius

with its center at the origin is

, where the value of

is ____ (in integer).

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In a parallel plate capacitor, the plate at

is grounded and the plate at

is maintained at a potential

. The space between the two plates is filled with a linear dielectric of permittivity

, where

is the permittivity of free space. Neglecting the edge effects, the electric field (

) inside the capacitor is

Your answerChoose one option.

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GATE PH topic:electromagnetic-theory PYQs

Question 37

Question 40

Question 49

Question 56

Question 57

Question 58

Question 12

Question 20

Question 34

Question 40