Figure shows cross-sectional view of a solenoid. There exists uniform time dependent magnetic fi...

Figure shows cross-sectional view of a solenoid. There exists uniform time dependent magnetic field \(B_t=a t^2+b t\) inside the  solenoid. A uniform square \((a \times a)\) conducting frame is kept in solenoid keeping its plane perpendicular to axis of solenoid. The side of square closest to axis of solenoid is at a distance a/2 from axis. Find the ratio of magnitude of the potential difference between \(C\) and \(D \left(V_{C D}\right)\) to the potential difference between \(A\) and \(B \left(V_{A B}\right)\) ? (Resistance per unit length of square frame is uniform).