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Magnetostatics - 1 - Free MCQ Practice Test with solutions, GATE EE


MCQ Practice Test & Solutions: Test: Magnetostatics - 1 (10 Questions)

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Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Magnetostatics - 1 - Question 1

The magnitude of H at a radius of 1 meter from along linear conductor is 1 A/m. The current in the wire is

Detailed Solution: Question 1


Given, r = 1 m, H = 1 A/m
Using Ampere’s circuit law, we have:

Test: Magnetostatics - 1 - Question 2

What is the value of magnetic flux density at the centre of the square current loop shown in figure below?

Detailed Solution: Question 2

The magnetic flux density at the centre of the square having each side a is given by

Given, a = 2 m, I = 5 Amp 

Test: Magnetostatics - 1 - Question 3

A solenoid of 20 cm long and 1 cm diameter has a uniform winding of 1000 turns. If the solenoid is placed in a uniform field of 2 Wb/m2 flux density and a current of 10 amps, is passed through the solenoid winding, then the maximum torque on the solenoid will be

Detailed Solution: Question 3

Given, l = 20 cm = 0.2 m,
r - 0.5 cm = radius = 0.005 m
N = 1000,
B = 2 Wb/m2,
I = 10 A
The torque acting on the solenoid is
T = NIAB sinθ
T will be maximum when
θ = 90°, i.e. sin90° = 1
∴ Tmax = 1000 x 10 (0.005 x 0.2) x 2
= 20 N-m

Test: Magnetostatics - 1 - Question 4

What is the value of magnetic flux density at the centre of a current carrying loop when the loop radius is 2 cm, loop current is 1 mA and the loop is placed in air?

Detailed Solution: Question 4

Magnetic flux density at the centre of a current carrying loop is given by

Test: Magnetostatics - 1 - Question 5

A magnetic field known to be directed in a cartesian co-ordinate system so that exists in the x-direction where Hx = Constant. The value of curl 

Detailed Solution: Question 5

Curl  cartesian coordinate is given by


Since Hx = constant and Hy = Hz = 0, therefore


= 0 + 0 + 0 

Test: Magnetostatics - 1 - Question 6

Match List-I with List-ll and select the correct answer using the codes given below the lists:
List-I
A. Faraday’s induction law
B. Maxwell equation in point form
C. Electric field strength general equation

Test: Magnetostatics - 1 - Question 7

The force acting between two parallel wires carrying currents I1 and I2 and separated by a distance r is given by

Test: Magnetostatics - 1 - Question 8

Flux lines are received at an iron-air boundary at an angle of 45° from the normal on the iron side of the boundary. If the iron has a relative permeability of 350, then the angle from the normal with which the flux emerges into the air would be

Detailed Solution: Question 8


Let medium-1 and medium-2 are respectively iron and air, then

or  
or  

Test: Magnetostatics - 1 - Question 9

The unit of magnetic flux is given by

Test: Magnetostatics - 1 - Question 10

Assertion (A): The potential in case of magnetic field is a vector potential.
Reason (R): The potential in case of electric field is a scalar potential

Detailed Solution: Question 10

  • Both assertion and reason are correct statements.
  • The potential in case of magnetic field is a vector potential because source for producing a magnetic field is a current element which has both magnitude and direction.
  • The potential in case of electric field i.e. electric potential is a scalar potential because the source for producing an electric field is a charge which is a scaler quantity (having only magnitude).

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