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The magnetic induction at the centre O i...

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

A

`(mu_0I)/4(1/R_1-1/R_2)`

B

`(mu_0I)/4(1/R_1+1/R_2)`

C

`(mu_0I)/4 (R_1-R_2)`

D

`(mu_0I)/4 (R_1+R_2)`

Text Solution

Verified by Experts

The correct Answer is:
A
B due to outer semi circular ring -
`B_1=(mu_0I)/(4pi). theta/R=(mu_0I)/(4R_2pi)xxpi=(mu_0I)/(4R_2)`
B due to inner semi circular ring -
`B_2 = (mu_0I)/(4R_1)` (inside)
Total field `B-B_2-B_1=(mu_0I)/4(1/R_1-1/R_2)` (inside)
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