A long, straight current-carrying solenoid creates a uniform magnetic field B = 13 mT inside itself when the current is I = 35 A. Suppose we have a rectangular loop S2 made by a conducting material with N2 = 56 turns and length, a = 38 cm, and width b = 22 cm. Now we take another coil S1 with self-inductance L1 and no. of turns N1 and keep it at some distance away from the rectangular loop. We will not be changing the position of the coil and rectangular loop. The mutual inductance between the coil and the rectangular loop is M = 2 mH and the rate of change of current in the coil S1 is 4A/s. Calculate the self-induced emf in S1.

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