$AB$ 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
What is the coefficient of mutual inductance when the magnetic flux changes by $2 \times 10^{-2}\,Wb$ and change in current is $0.01\,A$......$ henry$
Two coils $P$ and $Q$ are separated by some distance. When a current of $3\, A$ flows through coil $P$ a magnetic flux of $10^{-3}\, Wb$ passes through $Q$. No current is passed through $Q$. When no current passes through $P$ and a current of $2\, A$ passes through $Q$, the flux through $P$ is
An alternating current of frequency $200\,rad/sec$ and peak value $1\,A$ as shown in the figure, is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is $1.5\, H$, the voltage induced in the secondary will be.....$V$
The number of turns of primary and secondary coils of a transformer are $5$ and $10$ respectively and the mutual inductance of the transformer is $25\,henry$. Now the number of turns in the primary and secondary of the transformer are made $10$ and $5$ respectively. The mutual inductance of the transformer in henry will be
A coil of radius $1\, cm$ and of turns $100$ is placed in the middle of a long solenoid of radius $5\, cm$. and having $5\, turns/cm$. parallel to the axis of solenoid The mutual inductance in millihenery will be