Question

Two similar circular loops of radius R, are lying concentrically with their planes at right angles to each other
espectively.
The currents flowing in them are I and
Root 3I respectively. The magnetic field at the centre of the coil is

Answer 1

Explanation:

The magnetic field at the center of the circular coil of radius R carrying current I is given by

B=

2R

μ

0

I

. . . . . . .(1)

The magnetic field at the center of the circular coil of radius R carrying current

3

I is given by

B

′

=

2R

3

μ

0

I

=B

3

(from equation 1)

The net magnetic field,

B

n

=

B

2

+3B

2

=2B

B

n

=2.

2R

μ

0

I

=

R

μ

0

I