Home
Class 12
PHYSICS
Two circular concentric loops of radii r...

Two circular concentric loops of radii `r_(1)=20cm, r_(2)=30 cm` are placed in the `X-Y` plane as shown in the figure. A current I= 7 A is flowing through them. The magnetic moment of this loop system is

A

`+4.0 hatk (Am^(2))`

B

`-1.5 hatk (Am^(2))`

C

`+1.1 hatk (Am^(2))`

D

`+1.3 hatj (Am^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`vecm = I vecA`
`vecm_(1) = I pi r_(1)^(2) (-hatk) = -7 xx pi xx (0.2)^(2) (hatk)`
`vecm_(2) = I pi r_(2)^(2) (hatk) = +7 xx pi xx (0.3)^(2) (hatk)`
`vecm_("net") = vecm_(2) + vecm_(1) = 7 xx (22)/(7) [ (0.3)^(2) - (0.2)^(2)] hatk`
`1.1 hatk (Am^2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A loop carrying current I lies in the x-y plane as shown in the figure . The unit vector hat k is coming out of the plane of the paper . The magnetic moment of the current loop is

The radius of a circular loop is r and a current i is flowing in it. The equivalent magnetic moment will be

A current I is flowing through the loop , as shown in the figure . The magnetic field at centre O is

A square loop of side l carries a current i. it is placed as shown in figure. Find the magnetic moment of the loop.

Two circular loops P and Q are placed with their planes paraller to each other. A current is flowing through P . If this current is increasesed, then

Two concentric co - planar circular loops of radius R and r (lt lt R) are placed as shown in the figure. The mutual inductance of the system will be

A wire loop carrying current I is placed in the x-y plane as shown. Magnetic induction at P is