Electromagnetic Induction

For the plane electromagnetic wave given by$E=E_{0}sin(\omega t-kx)$ and$B=B_{0}sin(\omega t-kx),$ the ratio of average electric energy density to average magnetic energy density is

List-I contains four conducting loops lying in the $XY$ plane, as shown in the figures. The loops are rotating about $Z$ axis passing through the point $O$ with time period $T$ in clockwise direction. The region $x > 0$…

A conducting square loop of side $L$, mass $M$ and resistance $R$ is moving in the $X Y$ plane with its edges parallel to the $X$ and $Y$ axes. The region $y \geq 0$ has a uniform magnetic field, $\vec{B}=B_0 k$. The…

A conducting square loop initially lies in the $X Z$ plane with its lower edge hinged along the $X$-axis. Only in the region $y \geq 0$, there is a time dependent magnetic field pointing along the $Z$-direction,…

A region in the form of an equilateral triangle (in $x-y$ plane) of height $L$ has a uniform magnetic field $\vec{B}$ pointing in the $+z$-direction. A conducting loop $\mathrm{PQR}$, in the form of an equilateral…

A thin conducting rod $MN$ of mass $20gm$, length $25cm$ and resistance $10\Omega$ is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field $B_{0}=4T$…

Paragraph A special metal $S$ conducts electricity without any resistance. A closed wire loop, made of $S$, does not allow any change in flux through itself by inducing a suitable current to generate a compensating…

A long straight wire carries a current, $I=2$ ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the…

A light disc made of aluminum (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis.…

A conducting wire of parabolic shape, initially $y=x^{2},$ is moving with velocity $V\to=V_{0}i^$ in a non-uniform magnetic field $B\to=B_{0}(1+(\frac{y}{L})^{\beta})k^,$ as shown in figure. If $V_{0},B_{0},L$ and…

In the figure below, the switches $S_{1}andS_{2}$ are closed simultaneously at $t=0$ and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the…

A source of constant voltage $V$ is connected to a resistance$R$ and two ideal inductors $L_{1}$ and $L_{2}$ through a switch $S$ as shown. There is no mutual inductance between the two inductors. The switch $S$ is…