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Two perpendicular circular loops of radi...

Two perpendicular circular loops of radius `'a'` and `'b'` carry currents `i_(1)` and `i_(2)` respectively. The loop of radius `'b'` is `xy` plane and centered at `(b,0,0)`. The loop of radius `'a'` is in `yz` plane centred at `(0,0,0)`. The magnitude field at centre `(b,0,0)` is

A

`(mu_(0))/2[(-i_(1)a^(2))/((a^(2)+b^(2))^(3//2))hati+(i_(2))/bhatk]`

B

`(mu_(0))/2[(i_(1)b^(2))/((a^(2)+b^(2))^(3//2))hati+(i_(2))/bhatk]`

C

`(mu_(0))/2[(i_(1)a^(2))/((a^(2)+b^(2))^(3//2))hati-(i_(2))/bhatk]`

D

none of these

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