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Two similar coils of radius R are lying ...

Two similar coils of radius `R` are lying concentriclaly with their planes at right angels to each other. The currents flowing in them are `I` and `2I` respectively. The resulant magntic field induction at the centre will be

A

`(sqrt5 mu_(0)I)/(2R)`

B

`(3 mu_(0) I)/(2R)`

C

`(mu_(0) I)/(2R)`

D

`(mu_(0) I)/(R )`

Text Solution

Verified by Experts

The correct Answer is:
A
`B_(1) = (mu_(0) I)/(2R) , B_(2) = (mu_(0) (2I))/(2R)`
`B_("net") = sqrt(B_(1)^(2) + B_(2)^(2))`
`= (mu_(0) I)/(2R) sqrt5`
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