### Electromagnetic Induction

goals
A conducting circular loop of radius $a$ and resistance per unit length $R$ is moving with a constant velocity ${v}_{0}$, parallel to an infinite conducting wire carrying current ${i}_{0}$. A conducting rod of length $2a$ is approaching the centre of the loop wiht a constant velocity $\cfrac{{v}_{0}}{2}$ along the direction of the current. At the instant $t=0$, the rod comes in contact with the loop at $A$ and starts sliding on the loop with constant velocity. Neglecting the resistance of the rod and the self inductance of the circuit, find the following when the rod slides on the loop.
Consider a long thin uniform electrically insulating and magnetically nonpermeable cylindrical shell of length l, radius R (with l $\gg$ R) and moment of inertia I about the horizontal axis . A massless string is wound around the shell surface and a vertically hanging mass m is attached to its free end and released from rest at time t = 0.
Which of the following law follows when eddy currents are generated?
Two protons are kept at a separation of 10 nm Let Fn and Fe be the nuclear force and electromagnetic force between them.
A square loop of wire with resistance $R$ is moved at constant speed $v$ across a uniform magnetic field confined to a square region whose sides are twice the length of those of the square loop.