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1. A 10.0-cm-long solenoid of diameter 0.400 cm is wound uniformly with 800 turns. A
second coil with 50 turns is wound around the solenoid at its center. What is the
mutual inductance of the combination of the two coils? (Problem 30.3)

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4. A coil of 15 turns and radius 10 cm surrounds a long solenoid of radius 2.00 cm and has 1.00 x 103 turns per meter. The current in the solenoid changes as I = 5.00 sin 120t, where I is in amps and t is in seconds. Find the induced emf in the 15 turn coil as a function of time. %3D
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4. In the middle of the selenoid with a diameter of D = 2 cm, length L= 20 cm and consisting of N1 = 1200 turns there is a small coil with a diameter of d = 1 cm. The length of this small coil is l= 2 cm and consists of N2 = 50 turns a. Calculate the mutual inductance between the coils. b. If the current in the şelenoid changes at a rate of 0.5 A / s, calculate the emf induced ɛ on the small coil.