(c33p61) In the figure, R 13.0 S2, C-3.50 HF, and L 70.0 mH. The generator provi

Question

(c33p61) In the figure, R 13.0 S2, C-3.50 HF, and L 70.0 mH. The generator provides a sinusoidal voltage of 150 V (rms) and frequency f-490 Hz . Calculate the rms current Suomit Answer Tries 0/7 Find the rms voltage, Vab Submit Answrries 0/7 Find the rms voltage, Vbc Submit AnswerTries 0/7 Find the rms voltage, Vcd Suomit AnswerTries 0/7 Find the rms voltage, Vbd Submit Answer Tries 0/7 Find the rms voltage, Vad Suomit Answer Tries 0/7 At what average rate is energy dissipated by the capacitor? Suomit Answer Tries 0/7 At what average rate is energy dissipated by the inductor? Suomit AnswerTries 0/7 At what average rate is energy dissipated by the resistor? Submit AnswerTries 0/7

Explanation / Answer

1)We know that

I(rms) = V(rms)/Z

Z = sqrt (R^2 + (Xl - Xc)^2)

Z = sqrt [13^2 + (2 x 3.14 x 490 x 70 x 10^-3 - 1/(2 x 3.14 x 490 x 3.5 x 10^-6))^2] = 123.24 Ohm

I = 150/123.24 = 1.22 A

Hence, Irms = 1.22 A

same current flows through all the circuit elements connected in series, so

Vab = 1.22 x 13 = 15.86 V

Hence, Vab = 15.86 V

Vbc = 1.22 x Xc

Xc = 1/(2 x 3.14 x 490 x 3.5 x 10^-6) = 92.85

Vbc = 1.22 x 92.85 = 113.28 V

Hence, Vbc = 113.28 V

Vcd = 1.22 x Xl

Xl = 2 x 3.14 x 490 x 70 x 10^-3 = 215.4

Vcd = 1.22 x 215.4 = 262.8 V

Hence, Vcd = 262.8 V

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