A conducting square loop of side $L$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. A magnetic induction $B$ constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere with part of the loop outside the field, as shown in figure. The induced emf is

A metallic rod of length $l$ is rotated at a constant angular speed $\omega$, normal to a uniform magnetic field $B$. Derive an expression for the current induced in the rod, if the resistance of the rod is $R$ (both the ends of the rod are connected and the circuit is close).

As shown in the above figure, a current carrying straight wire is kept beside a circular loop. Now, find the direction of induced current in the loop if the current in the wire is decreasing: