Problem 3.307

A $\Pi$-shaped conductor is located in a uniform magnetic field perpendicular to the plane of the conductor and varying with time at the rate $\dot{B}=0.10 \mathrm{~T} / \mathrm{s}$. A conducting connector starts moving with an acceleration $w=10 \mathrm{~cm} / \mathrm{s}^{2}$ along the parallel bars of the conductor. The length of the connector is equal to $l=20 \mathrm{~cm} .$ Find the emf induced in the loop $t=2.0 \mathrm{~s}$ after the beginning of the motion, if at the moment $t=0$ the loop area and the magnetic induction are equal to zero. The inductance of the loop is to be neglected.