How to practice Electromagnetic Theory

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 76. Imported answers require independent review unless marked reviewed.

Topic practice 76 questionsPage 1 of 8

Question 11

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In free space, an electromagnetic wave is traveling whose wavevector is

. The electric field component of this electromagnetic wave is given by

. The speed of light in free space is

. The corresponding magnetic field

is
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Question 12

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An infinitely large non-conducting thin sheet in the

plane (

) carries a uniform surface charge density

. The electric field in the region

is

. Then, the electric field

in the region

will be
(

)
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Question 15

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Which of the following options is correct for transformation of electric field

and magnetic field

under time reversal, i.e.,

?
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Question 19

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For the electric field of an electromagnetic wave given below, which of the following statements is correct?

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Question 30

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A dielectric sphere carries a uniform polarization

. The magnitude of the electric field at the center of the sphere is

. The value of

(rounded off to one decimal place) is ____

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Question 47

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PHMCQ2 marksNeeds review
An infinitely large thin sheet in the

-plane carries uniform positive charge density and is moving with constant velocity

in the

direction (see figure below). The direction of the corresponding Poynting vector is
Diagram for Physics question 47

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Question 48

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A positive point charge is fixed at the origin. At some distance from it on the

axis, a point dipole is kept pointing in the

direction. The force on the dipole is
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Question 57

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Consider a particle of mass

kg and charge

C in a uniform electromagnetic field

,

. The particle is released from the coordinates

at time

. Starting from initial speed zero, it comes back to the

-axis for the first time at time

. The value of

in seconds (rounded off to two decimal places) is ____

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Question 61

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A capacitor is made of two circular metal plates of radius 1 m separated by a distance of

mm. The space between them is filled by a dielectric with permittivity

. The capacitor is connected to a voltage

volts, where

is in seconds. The maximum value of the magnetic field in between the plates at a radial distance

m from the centre of the capacitor is

T. The value of

(rounded off to two decimal places) is _____
(Speed of light in vacuum

m.s

)

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Question 31

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A linear dielectric sphere of radius

has a uniform frozen-in polarization along the

-axis. The center of the sphere initially coincides with the origin, about which the electric dipole moment is

. When the sphere is shifted to the point

, the corresponding dipole moment with respect to the origin is

. The value of

(in integer) is ______

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