An R L C series circuit consists of a 450-resistor, a 3.00-mF capacitor, and a 1

Question

An RLC series circuit consists of a 450-resistor, a 3.00-mF capacitor, and a 1.00-Hinductor. The circuit is driven by a power source that oscillates at 20.0 Hz and has an Erms value of 40.0 V . The power source is switched on at t= 0 and at that instant the emf is at its maximum value.

Part A

Calculate the power supplied at t = 0.0200 s.

Express your answer with the appropriate units.

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Part B

Calculate the power supplied at t = 0.0375 s.

Express your answer with the appropriate units.

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Part C

Calculate the power supplied at t = 0.0500 s.

Express your answer with the appropriate units.

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Explanation / Answer

A) power delivered is P = Irms^2*R

Irms = Erms/Z

impedence Z = sqrt(R^2 +(XL-Xc)^2)

XL = 2*pi*f*L = 2*3.142*20*1 = 125.68 ohm

XC = 1/(2*pi*f*C) = 1/(2*3.142*20*3*10^-3) = 2.65 ohm

Z = sqrt(450^2 +(125.68-2.65)^2) = 466.5 ohm

Irms = 40/466.5 = 0.0857 A

then P = 0.0857*0.0857*450 = 3.305 W

B) P = 3.305 W

C) P 3.305 W

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