Academic Experts Solutions for Chapter: Electromagnetic Induction, Exercise 11: Induced Electric Field

A conducting ring of radius$1 \mathrm{m}$ is placed in a uniform magnetic field $B$ of $0.01 \mathrm{T}$ oscillating with a frequency of $100 \mathrm{Hz}$, having its plane at right angle to $B$. What will be the induced electric field?

A cylindrical space of radius $R$ is filled with a uniform magnetic induction $B$, parallel to the axis of the cylinder. If $\frac{\mathrm{d}B}{\mathrm{d}t}=\mathrm{constant}$, the graph showing the variation of induced electric field with distance $r$ from the axis of cylinder is 

The figure shows three regions of magnetic field, each of area $A$. In each region, the magnitude of magnetic field decreases at a constant rate $\alpha$. If $\overrightarrow{E}$ is the induced electric field, then the value of the line integral, $\oint \overrightarrow{E}.\overrightarrow{dl}$, along the given loop, is equal to

A uniform magnetic field of induction $B$ is confined to a cylindrical region of radius $R$. The magnetic field is increasing at a constant rate of $\frac{dB}{dt}$. A negative charge of magnitude $e$ is placed at point $P$ on the periphery of the field. Its acceleration is

As a result of the change in the magnetic flux linked to the closed loop, shown in the figure, an emf of $V \mathrm{volt}$ is induced in the loop. The work done (in $\mathrm{joule}$) in taking a charge of $Q \mathrm{coulomb}$ once along the loop is