GATE EE topic:electromagnetic-fields PYQs & Answers — Page 2

Questions 11–20 of 36. Imported answers require independent review unless marked reviewed.

In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constant magnitudes. A positive charge ‘q’ is released from rest at the origin. Which of the following statement(s) is/are true.

Diagram for Electrical Engineering question 43

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

The charge will move in the direction of z with constant velocity.

The charge will always move on the y-z plane only.

The trajectory of the charge will be a circle.

The charge will progress in the direction of y.

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An infinite surface of linear current density

A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnetic field intensity (H) at a point (1,1,1) due to the surface current in Ampere/meter is ________ (Round off to 2 decimal places).

Diagram for Electrical Engineering question 61

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A long conducting cylinder having a radius ‘b’ is placed along the z axis. The current density is

for the region

where

is the distance in the radial direction. The magnetic field intensity (

) for the region inside the conductor (i.e. for

) is

Your answerChoose one option.

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If the magnetic field intensity (

) in a conducting region is given by the expression,

A/m. The magnitude of the current density, in A/m

, at

m, and

m, is

Your answerChoose one option.

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Let

. The value of

, where

is the volume enclosed by the unit cube defined by

, is

Your answerChoose one option.

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As shown in the figure below, two concentric conducting spherical shells, centered at

and having radii

and

are maintained at potentials such that the potential

and

. Assume that

depends only on

, where

is the radial distance. The expression for

in the region between

and

Diagram for Electrical Engineering question 53

Your answerChoose one option.

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Which one of the following vector functions represents a magnetic field

? (

, and

are unit vectors along x-axis, y-axis, and z-axis, respectively)

Your answerChoose one option.

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A 1 μC point charge is held at the origin of a cartesian coordinate system. If a second point charge of 10 μC is moved from (0, 10, 0) to (5, 5, 5) and subsequently to (5, 0, 0), then the total work done is ____ mJ. (Round off to 2 decimal place). Take

in SI units. All coordinates are in meters.

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One coulomb of point charge moving with a uniform velocity

m/s enters the region

having a magnetic flux density

T. The magnitude of force on the charge at

is __________ N. (

, and

are unit vectors along x-axis, y-axis, and z-axis, respectively.)

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Consider a large parallel plate capacitor. The gap

between the two plates is filled entirely with a dielectric slab of relative permittivity 5. The plates are initially charged to a potential difference of

volts and then disconnected from the source. If the dielectric slab is pulled out completely, then the ratio of the new electric field

in the gap to the original electric field

is __________.

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GATE EE topic:electromagnetic-fields PYQs

Question 43

Question 61

Question 23

Question 45

Question 52

Question 53

Question 5

Question 17

Question 41

Question 42