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.