Two concentric coils each of radius equal to `2π` cm are placed right angles to each other. If 3 A and 4 A are the currents flowing through the two coils respectively. The magnetic induction ( in `Wb m^(-2)` ) at the center of the coils will be

Options

A. `7 xx 10^(-5)`
B. `5 xx 10^(-5)`
C. `10^(-5)`
D. `12 xx 10^(-5)`

Answer

B

Explanation

`B= (mu_(0)I)/(2R)`
`B_(1)= (mu_(0))/(2) (3)/(2pi xx 10^(-2))= 3 xx 10^(-5)T`
`B_(2)= (mu_(0))/(2) (4)/(2pi xx 10^(-2))= 4 xx 10^(-5)T`
`B= sqrt(B_(1)^(2))+ B_(2)^(2)= 5 xx 10^(-5)T`