The magnetic field in the cylindrical region shown in figure (38-E7) increases at a constant rat...

The magnetic field in the cylindrical region shown in figure (38-E7) increases at a constant rate of \( 20.0 \mathrm{mT} / \mathrm{s} \). Each side of the square loop \( a b c d \) and defa has a length of \( 1.00 \mathrm{~cm} \) and a resistance of \( 4.00 \Omega \). Find the current (magnitude and sense) in the wire \( a d \) if (a) the switch \( S_{1} \) is closed but \( S_{2} \) is open, (b) \( S_{1} \) is open but \( S_{2} \) is closed, (c) both \( S_{1} \) and \( S_{2} \) are open and (d) both \( S_{1} \) and \( S_{2} \) are closed.