Figure $30-39$ shows a closed loop of wire that consists of a pair of equal semicircles, of radius $3.7 \mathrm{~cm}$ lying in mutually perpendicular planes. The loop was formed by folding a flat circular loop along a diameter until the two halves became perpendicular to each other. A uniform magnetic field $\vec{B}$ of magnitude $76 \mathrm{mT}$ is directed perpendicular to the fold diameter and makes equal angles (of $45^{\circ}$ ) with the planes of the semicircles. The magnetic field is reduced to zero at a uniform rate during a time interval of $4.5 \mathrm{~ms}$. During this interval, what are the (a) magnitude and (b) direction (clockwise or counterclockwise when viewed along the direction of $\vec{B}$ ) of the emf induced in the loop?