Question

An LCR circuit consists of a 25 mH inductor, a total resistance of 100 Ohm, and...

An LCR circuit consists of a 25 mH inductor, a total resistance of 100 Ohm, and a 4.7 mF capacitor is attached to a 10 V variable frequency power supply. (a) What is the resonance frequency of the circuit? (b) Plot the power output of the resistor versus frequency for the circuit. (c) What is the theoretical Quality Q= ωo L R+ Ro of the circuit? (d) Estimate the Quality of the circuit from the graph Q= f res /Δ f .

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Homework Answers

Answer #1

a) resonant frequency

= 1/2sqrt(25mh*4.7mF) = 14.68Hz

b)

c) theoretical Quality factor Q

=1/(2*14.68*100*4.7m) = 0.023

d)

The Q factor from the graph is

= 14.68/(400-0.5) = 0.0367

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