Embibe Experts Solutions for Exercise 3: EXERCISE 6.3

The wire is shaped like a parabola $y^2=4ax$, and the magnetic field is uniform and out of the plane of the paper perpendicularly. At the instant the rod crosses the point $(a, 0)$. Induced emf in the rod is

A straight segment of wire is moving with velocity $\hat{i}-2\hat{j}+\hat{k}$ and magnetic field in the region is $4\hat{i}+2\hat{j}-\hat{k}$. Find emf induced in rod at an instant when points are located between $(1,1,1)$ and $(3,3,3) .$

Magnetic field in a cylindrical region is given by $B=\alpha t$. Find emf across rod $AB$ as shown in figure.

A charge $q$, mass $m$ is lying in a cylindrical region of magnetic field at point $P$. If magnetic field in the region is given by $B_0$ and $P$ is at distance $R$ from centre of region, find speed of charge if the magnetic field is suddenly switched off