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Chapter 32: Q. 63 (page 926)

A generator consists of a 12cm by 16cmrectangular loop with 500 turns of wire spinning at 60Hzz in a 25mTuniform magnetic field. The generator output is connected to a series RC circuit consisting of a120ohm resistor and a 35mF capacitor. What is the average power delivered to the circuit?

Short Answer

Expert verified

The average power delivered to the circuit is :-

Pavg=24W

Step by step solution

01

Given information

We have been given that a generator consists of a 12cm by 16cmrectangular loop with 500 turns of wire spinning at 60Hz in a 25mTuniform magnetic field. The generator output is connected to a 120ohmseries RC circuit consisting of a resistor and a 35mFcapacitor. We have to find the average power delivered to the circuit.

02

Simplification

The voltage and current is:

Irms=εrmsR2+XC2

εo=NBAω

=90.48V

To find the expression :

Pavg=Irms2R

=εo2R2R2+(1/2πfC)2

=(90.48V)2(120Ω)2(120Ω)2+1/2π(60Hz)35×10-6F2

=24W

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Most popular questions from this chapter

a. For an RC circuit, find an expression for the angular frequency at which VR=12ε0

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the peak volt-age at 250kHZis 2.2V.

a. What is the capacitance?

b. If the peak voltage is held constant, what is the peak current at 500kHZ?

A 200 Ω resistor is connected to an AC source with E0=10 V. What is the peak current through the resistor if the emf frequency is (a) 100 Hz? (b) 100 kHz?
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