Flow of Current and Charge in a Circuit When Magnetic Flux Changes

The two ends of coil of resistance $R$ are joined by a connecting wire. The magnetic flux linked by the coil changes by $∆\varphi$. How much charge would flow in the circuit?

A coil having $n$ turns and resistance $\mathrm{R\Omega }$ is connected with a galvanometer of resistance $4\mathrm{R\Omega }.$ This combination is moved in $t$ sec from a magnetic field $W_{1}wb$ to $W_{2}wb$. The induced current in the circuit is

Two circular loops of wire are at right angle to each other. If current in one changes, will current be induced in the other?

Two identical loops, one of copper and the other of aluminium are rotated with the same angular speed in the same magnetic field. Compare the current produced in the two coils. Justify your answer.

In the figure, a bar magnet falling under gravity through an air-cored coil C. Plot a graph showing the variation of induced emf$\left(\mathrm{E}\right)$ with time $\left(\mathrm{t}\right)$ What does the area enclosed by the $\mathrm{E}-\mathrm{t}$ curve depict? 

A bar magnet is pulled rapidly through a conducting loop along its axis with a uniform velocity with its south pole entering the loop first. Sketch qualitatively the joule heating as a function of time (Take the induced current positive if it is clockwise when viewed along the path of the magnet).

A bar magnet is pulled rapidly through a conducting loop along its axis with a uniform velocity with its south pole entering the loop first. Sketch qualitatively the induced current.

A cylindrical bar magnet is kept along the axis of a circular coil. Will there be a current induced if the magnet is rotated about its own axis? Answer giving reason.