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GATE 2023 : Electromagnetic Theory Revision Quiz

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Question 1

For a homogeneous and isotropic medium if electric potential is V. Then Poisson equation will be:

Question 2

A phasor
1) May be a scalar or a vector
2) Is a time-dependent quantity
3) Is a complex quantity
Which of the above statements are correct?

Question 3

Which one of the following relations holds true for an irrotational field

Question 4

Maxwell’s equation

= ρ_V becomes ______________ in free space because:

Question 5

is Solenoidal, then the value of k = _______.

Question 6

The circular loop conductor having a radius of 10 m is placed in x-y plane, this loop consists of a resistance of 50Ω as shown in below figure. If the magnetic flux density is

Find current flowing through this loop?

Question 7

In a charge free region for which

= 0, ϵ = ϵ₀ϵ_r and μ = μ₀, H = 5 cos (10¹¹t – 4y)

A/m. Determine the electric flux density D.

Question 8

and loop current is

, Then the value of A is _______.

Question 9

An electric field is given by

, an incremental path is represented by

. Find the work done in moving 4μC charge along the incremental path if the location of the path is a point (2, 1, 1)

Question 10

A point charge of +5μC and –5μC are located at (0, 0, 1) and (0, 0, –1) respectively, in free space. Find the magnitude of dipole moment. Consider distance in meters.

Question 11

A dielectric material is placed in vacuum in a uniform electric field of E = 10 V/m. What is the electric field inside the material if the relative permittivity of dielectric material is 2?

Question 12

A point charge of 10^–9 C is placed at a point A in free space. What is the intensity of electrostatic field on the surface of a sphere of radius 5 cm at centre A?

(Take = 9 x 10⁹SI unit)