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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

Solution:

Given, r = 1 m, H = 1 A/m

Using Ampere’s circuit law, we have:

QUESTION: 2

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

Solution:

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

Given, a = 2 m, *I* = 5 Amp

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/m^{2} flux density and a current of 10 amps, is passed through the solenoid winding, then the maximum torque on the solenoid will be

Solution:

Given, l = 20 cm = 0.2 m,

r - 0.5 cm = radius = 0.005 m

N = 1000,

B = 2 Wb/m^{2},

I = 10 A

The torque acting on the solenoid is

T = NIAB sinθ

T will be maximum when

θ = 90°, i.e. sin90° = 1

∴ T_{max} = 1000 x 10 (0.005 x 0.2) x 2

= 20 N-m

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?

Solution:

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

QUESTION: 5

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

Solution:

Curl cartesian coordinate is given by

Since H_{x} = constant and H_{y} = H_{z} = 0, therefore

= 0 + 0 + 0

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

Solution:

QUESTION: 7

The force acting between two parallel wires carrying currents I_{1} and I_{2} and separated by a distance r is given by

Solution:

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

Solution:

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

or

or

QUESTION: 9

The unit of magnetic flux is given by

Solution:

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

Solution:

- 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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