Home
Class 12
PHYSICS
In the figure shown there are two semici...

In the figure shown there are two semicircles of radii `r_(1)` and `r_(2)` in which a current `i` is flowing. The magnetic induction at the centre `O` will be

A

`(mu_(0) i)/( r) (r_(1) + r_(2))`

B

`(mu_(0) i)/(4) (r_(1) - r_(2))`

C

`(mu_(0) i)/(4) ((r_(1) + r_(2))/(r_(1) r_(2)))`

D

`(mu_(0) i)/(4) ((r_(2) - r_(1))/(r_(1) r_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
`B_(1)` due to big semicircle , `B_(1) = (mu_(0) i)/( 4 r_(1)) otimes`
`B_(2)` due to small semicircle , `B_(2) = (mu_(0) i)/(4r_(2)) otimes` Total B = `(mu_(0) i)/(4) [ (1)/(r_(2)) + (1)/(r_(1)) ] otimes = (mu_(0) i)/(4) [ (r_(1) + r_(2))/(r_(1) r_(2))] otimes `
Promotional Banner

Similar Questions

Explore conceptually related problems

The magnetic induction at the centre O in the figure shown in

For the arrangment as shown in the figure, the magnetic induction at the centre is

In the figure shown the current flowing 2 R is:

A wire loop formed by joining two semicircular wires of radii R_1 and R_2 carries a current I as shown in figure. Find the magnetic field induction at the centre O.

The wire loop PQRSP formed by joining two semicircular wires of radii R_(1) and R_(2) carries a current I as shown . The magnitude of the magnetic induction at the center C is ………..

The circular loop PQRSTP formed by two circular segments of radii R_1 and R_2 , carries a current I . What is the magnetic field induction at the centre O? What will be the magnetic field induction at O if alpha=90^@ ?

Two wire loop PQRSP formed by joining two semicircular wires of radii R_(1) and R_(2) carries a current i as shown in the figure given below. What is the magnetic field induction at the centre O in cases (A) and (B) ?