In the figure, R = 15.0 ohms, C = 5.4 uF, and L = 40.0 mH. The generator provide

Question

In the figure, R = 15.0 ohms, C = 5.4 uF, and L = 40.0 mH. The generator provides a sinusoidal voltage of 75 V (rms) and frequency f = 690 Hz.

A) Calculate the rms current

B) Find the rms voltage, Vab.

C) Find the rms voltage, Vbc.

D) Find the rms voltage, Vcd.

E) Find the rms voltage, Vbd.

F) Find the rms voltage, Vad.

G) At what average rate is energy dissipated by the capacitor?

H) At what average rate is energy dissipated by the inductor?

I) At what average rate is energy dissipated by the resistor?

Explanation / Answer

Xc = 1/(2 (pi) F C)

= 1/(2(pi)(690)(5.4)(10^-6)

= 42.71 ohms

RMS CUrrent = Vrms/Xc

= 75/42.71

= 1.756

H) The average rate at which electrical energy is dissipated (converted to other forms) in the capacitor is zero

H) The average rate at which electrical energy is dissipated (converted to other forms) in the inductor zero

I) The average rate at which electrical energy is dissipated (converted to other forms) in the resistnace = I * R

= 1.756 * 15

= 26.34 W

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