a small square shaped loop of edge length l is placed at the centre of a circular loop a of radius r with its plane perpendicular to plane of the circular loop the coefficient of mutual induc†an ce is

Q. A square conducting loop of side L is situated in gravity free space. A small conducting circular loop of radius r ( r < < L) is placed at the center of the square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is

Q. A circular wire loop of radius $R$ is placed in the $x-y$ plane centred at the origin $O$. A square loop of side $a(a\ll R)$ having two turns is placed with its centre at $z=\sqrt{3}R$ along the axis of the circular wire loop, as shown in figure. The plane of the square loop makes an angle of ${45}^o$ with respect to the $z-$axis. If the mutual inductance between the loops in given by $\frac{{\mu }_0{a}^2}{2^{p/2}R}$, then the value of $p$ is:

Q. A circular wire loop of radius $R$ is placed in the $xy$-plane centred at the origin $\text{O}$. A square loop of side $a(a<<R)$ having two turns is placed with its centre at $z=\sqrt{3}R$ 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 $\frac{{\mu }_0{a}^2}{2^{\frac{\rho }{2}}R}$, then the value of $\rho$ is(integer only)

Q. A circular wire loop of radius $R$ is placed in the $x-y$ plane centered at the orgin $O$. A square loop of side $a(a<<R)$ having two turns is placed with its centre at $Z=\sqrt{3}R$ along the axis of the circular wire loop, as shown in figure. The plane of hte square loop makes an anale of ${45}^o$ with respect to the $z$-axis. If the mutual inductance between the loop is given by $\frac{{\mu }_0{a}^2}{2^{p/2}R},$ then the value of $p$ is

Diagram

Q. 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<R) having two turns is placed with its center at $z=\surd 3R$ along the axis of the circular wire loop, as shown in figure. The plane of the square loop makes an angle of ${45}^0$ with respect to the z -axis. If the mutual inductance between the loops is given by $\frac{{\mu }_0{a}^2}{2^{\frac{P}{2}}R}$, then the value of p is