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EMFT EE
Magnetostatics

Practice questions from Magnetostatics.

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Q#1 Magnetostatics GATE EE 2025 (Set 1) MCQ +2 marks -0.66 marks

An air filled cylindrical capacitor (capacitance ) of length , with  and  as its inner and outer radii, respectively, consists of two coaxial conducting surfaces. Its cross-sectional view is shown in Fig. (i). In order to increase the capacitance, a dielectric material of relative permittivity  is inserted inside  of the annular region as shown in Fig. (ii). The value of  for which the capacitance of the capacitor in Fig. (ii), becomes  is

4

5

9

10

Explanation:

It is given that

Since half of the region is filled with air and half with a dielectric the two parts can be considered to be connected in parallel and the capacitance is equally divided as

 

 

 

 

Option (c) is contest.

Q#2 Magnetostatics GATE EE 2024 (Set 1) NAT +2 marks -0 marks

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).        

 

Explanation:

For a magnetic field,

Q#3 Magnetostatics GATE EE 2023 (Set 1) MSQ +2 marks -0 marks

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

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

The charge will always move on the  plane only.

The trajectory of the charge will be a circle.

The charge will progress in the direction of .

Explanation:

MTA

Q#4 Magnetostatics GATE EE 2023 (Set 1) NAT +2 marks -0 marks

An infinite surface of linear current density  exists on the  plane, as shown in the figure. The magnitude of the magnetic field intensity  at a point  due to the surface current in Ampere/meter is __________ (Round off to 2 decimal places).

Explanation:

Magnetic field intensity due to surface current density kA/m is