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What is the mutual inductance of a two-l...

What is the mutual inductance of a two-loop system as shown with centre separation l

A

`(mu_(0)pia^(4))/(8l^(3))`

B

`(mu_(0)pia^(4))/(4l^(3))`

C

`(mu_(0)pia^(4))/(6l^(3))`

D

`(mu_(0)pia^(4))/(2l^(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
`B_(1)=mu_(0)/(4pi)*(2M)/l^(3)`

`varphi=B_(1)A_(2)=mu_(0)/(4pi)(2i(pia^(2)))/l^(3)(pia^(2))`
Also, `M=varphi_(2)/i=(mu_(0)pia^(4))/(2l^(3))`
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