JEE Advanced 2012 Paper 1 Physics Q19

Physics · Electromagnetic Induction

Problem

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

(a\ll R)

having two turns is placed with its center at

z=\sqrt3R

along the axis of the circular wire loop, as shown in figure. The plane of the square loop makes an angle of

45^\circ

with respect to the

z

-axis. If the mutual inductance between the loops is given by

\frac{\mu_0a^2}{2^{p/2}R}

, then the value of

p