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

Network shown in the diagram is part of an electrical circuit. The current is $2 A$ and is decreasing at the rate of $2 \frac{A}{s}$ then $V_P-V_Q$ equals

There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of paper, then

Find potential difference between $A$ and $C$ if potential difference between $A$ and $B$ at a certain instant is $12 \mathrm{V}$

In the following part of a circuit $i_1=5 A,\frac{d{l}_1}{dt}=3A{s}^{-1},i_2=2 A,\frac{d{i}_2}{dt}=-4 A/s$. Find $V_A-V_B .$