Question

a) (7pts) How many turns of wire would be required to make a 130-mH inductance out of a 30.0-cm-long coil with a diameter of 4.2 cm? Assume that the coil is in a vacuum. b) (7pts) A 2.0 A current passes through this coil. What potential difference is induced across the coil if the current drops to zero in 4.0 us? Assume the current changes linearly. c) (3pts) (This part is related to part b) At which point a or b is the electric potential higher (see the figure)? Show on the figure a direction of an induced current. 000 A cross-section of the coil d) (3pts) A magnetic field inside the coil is nearly uniform at any instant. However, since the current of the coil ZO OOO changes in time, B also changes in time. What is produced inside the coil? Show it on the figure using appropriate lines. OOOOOO

Answer 1

(a) Inductance of a solenoid is given by L=NONZA -) 130x10 3 - 414107 N° x1 + {21410 ??? (0.3) N-4733 turns b) Using E= 20 1 2 E = (0.130) $10 = 2/6} » 65000 volts { Emf or potential difference induced across the inclector} e Induced (c) point b is at higher potential .

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