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A generator consists of a 18-cm by 12-cm rectangular loop with 500 turns of wire

ID: 1793514 • Letter: A

Question

A generator consists of a 18-cm by 12-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit consisting of a 150 and a 35 F capacitor.

HW 11: AC Circuits Problem 32.63 Problem 32.63 Part A A generator consists of a 18-cm by 12-cm rectangular loop with 500 turns of wire spinning at 60 Hz in a 25 mT uniform magnetic field. The generator output is connected to a series RC circuit consisting of a 150 and a 35 F capacitor. What is the average power delivered to the circuit? Express your answer with the appropriate units avg = Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

induced emf amplitude = N A B w

= 500 x (0.18 x 0.12) x 0.025 x (2 pi 60)

= 101.8 Volt


Xc = 1 / (2 pi f C ) = 1 /(2 x pi x 60 x 35 x 10^-6)

Xc = 75.8 ohm

R = 150 ohm

Z = sqrt[R^2 + Xc^2] = 168 ohm


Ipeak = 101.8 / 168 = 0.606 A  


Pavg = I^2 R / 2 = 27.5 W

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