$AB$ is an infinitely long wire placed in the plane of rectangular coil of dimensions as shown in the figure. Calculate the mutual inductance of wire $AB$ and coil $PQRS$
$\frac{{{\mu _0}b}}{{2\pi }}\ln \frac{a}{b}$
$\frac{{{\mu _0}c}}{{2\pi }}\ln \frac{b}{a}$
$\frac{{{\mu _0}abc}}{{2\pi {{\left( {b - a} \right)}^2}}}$
None of these
Two conducting circular loops of radii ${R_1}$ and ${R_2}$ are placed in the same plane with their centres coinciding. If ${R_1} > > {R_2}$, the mutual inductance $M$ between them will be directly proportional to
Two circular coils have their centres at the same point. The mutual inductance between them will be maximum when their axes
Two coils have mutual inductance $0.002 \ \mathrm{H}$. The current changes in the first coil according to the relation $\mathrm{i}=\mathrm{i}_0 \sin \omega \mathrm{t}$, where $\mathrm{i}_0=5 \mathrm{~A}$ and $\omega=50 \pi$ $\mathrm{rad} / \mathrm{s}$. The maximum value of $\mathrm{emf}$ in the second coil is $\frac{\pi}{\alpha} \mathrm{V}$. The value of $\alpha$ is_______.
If the coefficient of mutual induction of the primary and secondary coils of an induction coil is $5\, H$ and a current of $10\, A$ is cut off in $5\times10^{-4}\, s$, the $emf$ inducted (in $volt$) in the secondary coil is
A very long straight conductor and isosceles triangular conductor lie in a plane and are separated from each other as shown in the figure. If $a = 10\ cm , b = 20\ cm$ and $h = 10\ cm$ , find the coefficient of mutuaI induction