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A circular wire loop of radius R is plac...

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 lt lt 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^(@)` with respect to the `z`-axis.If the mutual inductance between the loops is given by `(mu_(0)a^(2))/(2^(p//2)R)` then the value of `p` is

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