Two identical coils have a common centre and their planes are at right angles to each other. They carry equal currents. If the magnitude of the magnetic field at the centre due to one of the coils is `B` then that due to the combination is

Options

A. `B`
B. `sqrt(2)B`
C. `B/(sqrt(2))`
D. `2B`

Answer

B

Explanation

`B_(1)=(mu_(0)i)/(2r)=B=B_(2)`
`B_(1) is bot^(at)` to `B_(2)`
`B_(0)=sqrt(B_(1)^(2)+B_(2)^(2))=sqrt(2)B`