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Two coaxial long solenoids of equal leng...

Two coaxial long solenoids of equal length have current, `i_(1), i_(2)`, number of turns per unit length `n_(1), n_(2)` and radius `r_(1), r_(2)` respectively. If `n_(1)i_(1)=n_(2)i_(2)` and the two solenoids carry current in opposite sense, the magnetic energy stored per unit length is `[r_(2)gt r_(1)]`

A

`(mu_(0))/(2)n_(1)^(2)i_(1)^(2)pi(r_(2)^(2)-r_(1)^(2))`

B

`mu_(0)n_(1)^(2)i_(1)^(2)pi(r_(2)^(2)-r_(1)^(2))`

C

`(mu_(0))/(2)n_(1)^(2)i_(1)^(2)pir_(1)^(2)`

D

`(mu_(0))/(2)n_(2)^(2)i_(2)^(2)pi r_(2)^(2)`

Text Solution

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The correct Answer is:
A
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