Two circular coils `A` and `B` of radius `(5)/sqrt2cm` amd `5cm` respectively current `5amp` and `(5)/sqrt2Amp` respectively The plane of `B` is perpendicular to plane of `A` their centres coincide Find the magnetic field at the centre .

Options

A. 0
B. `4pisqrt2xx10^-5T`
C. `4pixx10^-5T`
D. `2pisqrt2xx10^-5T`

Answer

C

Explanation

`B_1=(mu_0i_1)/(2R_1)=((4pixx10^-7)(5))/((2)(5/sqrt2xx10^-2))`
`=2sqrt2pixx10^-5T`
`B_2=(mu_0i_2)/(2R_2)=((4pixx10^-7)(5sqrt2))/((2)(5xx10^-2))`
`=2sqrt2pixx10^-5T`
`B_("net")=sqrt(B_1^2+B_2^2)`