Problem 3.305

A plane loop shown in Fig. 3.91 is shaped as two squares with sides $a=20 \mathrm{~cm}$ and $b=10 \mathrm{~cm}$ and is introduced into a uniform magnetic field at right angles to the loop's plane. The magnetic induction varies with time as $B=B_{0}$ sin \omegat, where $B_{0}=10 \mathrm{mT}$ and $\omega=100 \mathrm{~s}^{-1}$. Find the amplitude of the current induced in the loop if its resistance per unit length is equal to $\rho=$ $50 \mathrm{~m} \Omega / \mathrm{m} .$ The inductance of the loop is to be neglected.