A long solenoid with \(15\) turns per cm has a small loop of area \(2.0\) cm² placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from \(2.0\) A to \(4.0\) A in \(0.1\) s, what is the induced emf in the loop while the current is changing?

It is desired to measure the magnitude of the field between the poles of a powerful loudspeaker magnet. A small flat search coil of area $2 c{m}^2$ with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region. Equivalently, one can give it a quick 90° turn to bring its plane parallel to the field direction). The total charge flown in the coil (measured by a ballistic galvanometer connected to the coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50 $\Omega$. The field strength of the magnet is:

1. 0.55 T
2. 0.75 T
3. 0.67 T
4. 0.49 T