A circular wire loop of radius R is placed in the x-y plane centered at the origin O. A square loop of side a(altltR) having two turns is placed with its centre at `=sqrt(3)R` along the axis of hte circular wire loop, as shown in figure. The plane of the square loop makes an angle of `45^(@)` with respect to the z-axis. If the mutual inductance between the loops is given bu `(mu_(0)a^(2))/(2^(p//2)R)`, then the value of p is

Options

A. 3
B. 5
C. 7
D. 9

Answer

C

Explanation

`B=(mu_0iR^2)/((a^2+R^2)^(3//2)) , phiB A cos (45)`
`M=(phi)/i=(mu_0a^2)/(2^(7//2)R^2)`