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Two identical coils carry equal currents...

Two identical coils carry equal currents have a common centre and their planes are at right angles to each other. The ratio of the magnitude of the resulatant magnetic field at the centre and the field due to one coil is

A

`sqrt(2)//1`

B

`2//1`

C

`3//1`

D

`1//1`

Text Solution

Verified by Experts

The correct Answer is:
A


`B=sqrt(B_(1)^(2)+B_(2)^(2))=sqrt(2B_(2)^(2))=sqrt(2)B_1`
Magnetic field due to one coil alone is`B_1`.
`therefore (B)/(B_1)=(sqrt(2))/(1)` .
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