A flat coil of wire consisting of 20 turns, each with an area of 50 cm^2, is pos

Question

A flat coil of wire consisting of 20 turns, each with an area of 50 cm^2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 0.40 W, what is the magnitude of the induced current? (0.50 A) What is the minimum frequency with which a 200 turn, flat coil of cross sectional area 300 cm^2 can be rotated in a uniform 30 mT magnetic field if the maximum value of the induced emf is to equal 8.0 V? (7.1 Hz) What is the self-inductance in a coil that experiences a 3.0 V induced emf when the current is changing at a rate of 110 A/s (27 mH) A 12 v battery is connected in series with a switch, resistor and coil. If the circuit's time is 2.0 times 10^-4 s and the final steady current after the switch is closed becomes 1.0 A, what is the value of the inductance? (2.4 mH) For a circuit shown in figure determine the current and power in each resistor.

Explanation / Answer

13. induced emf= rate of change magnetic field

e = d(NBA)/dt = N A dB/dt

e = (20)(50 x 10^-4) (6 -2) / 2

e = 0.2 Volt

P = e I

I - 0.40 / 0.2 = 2 A

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