GATE EE Electromagnetic Fields PYQs & Answers

Questions 1–10 of 36. Imported answers require independent review unless marked reviewed.

A uniform ring charge of radius

carries a total charge

. Which one of the following options correctly quantifies the magnitude of the force on a point charge of strength

kept at the center of the ring?

(

is the permittivity of the medium)

Your answerChoose one option.

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A positive point charge with velocity

enters a region having electric field

and magnetic field

. Which one of the following statements is correct for the force on the charge as it enters the region?

Your answerChoose one option.

The force will be along the magnetic field but perpendicular to the electric field

The force will be along the electric field but perpendicular to the magnetic field

The force will be perpendicular to both electric and magnetic field

The magnetic field does not exert any force on the charge

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Given that

, the integral

over the unit sphere

centered at the origin evaluates to ________

(Round off to one decimal place)

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The figure shows an arbitrarily shaped planar conducting loop A in the XY plane. Two nonintersecting regions with areas

and

within the loop are subjected to magnetic fields

, and

, respectively.

Diagram for Electrical Engineering question 51

What is the expression for the induced rms voltage in loop A?

Your answerChoose one option.

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A uniform spherical volume charge distribution of radius 2 m, centered at the origin, has a strength of 3/π × 10⁻⁶ C/m³. A point charge of strength π × 8.854 × 10⁻¹² C is moved from (−3, 0, −4) to (0, 0, 4) in Cartesian coordinate system. The relative permittivity of the medium is 1 and the coordinate values are in meters.

The work done during the process is ________ μJ (Round off to two decimal places)

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Which one of the following figures represents the radial electric field distribution

caused by a spherical cloud of electrons with a volume charge density,

for

(both

are positive and

is the radial distance) and

for

Diagram for Electrical Engineering question 25

Your answerChoose one option.

Fig. (i)

Fig. (ii)

Fig. (iii)

Fig. (iv)

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An air filled cylindrical capacitor (capacitance

) of length L, with a and b as its inner and outer radii, respectively, consists of two coaxial conducting surfaces. Its cross-section view is shown in Fig. (i). In order to increase the capacitance, a dielectric material of relative permittivity

is inserted inside 50% of the annular region as shown in Fig. (ii). The value of

for which the capacitance of the capacitor in Fig. (ii), becomes

Diagram for Electrical Engineering question 50

Your answerChoose one option.

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Let

be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of n, the divergence of the radial vector field

is independent of R?

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

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In the

coordinate system, three point charges

, and

are located in free space at

, and

, respectively. The value of

for the electric field to be zero at

is __________ (rounded off to 1 decimal place).

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The given equation represents a magnetic field strength

in the spherical coordinate system, in free space. Here,

and

represent the unit vectors along

and

, respectively. The value of

in the equation should be __________ (rounded off to the nearest integer).

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GATE EE Electromagnetic Fields PYQs

How to practice Electromagnetic Fields

Question 15

Question 16

Question 32

Question 51

Question 63

Question 25

Question 50

Question 51

Question 51

Question 52