What is the rms current in a series R C circuit if R = 3.3 k , C = 0.89 F , and

Question

What is the rms current in a series RC circuit if R = 3.3 k , C = 0.89 F , and the rms applied voltage is 130 V at 48 Hz ?

Express your answer using two significant figures.

2.6×102

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Part B

Part complete

What is the phase angle between voltage and current?

Express your answer using two significant figures.

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Significant Figures Feedback: Your answer 48.51 was either rounded differently or used a different number of significant figures than required for this part.

Part C

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What is the power dissipated by the circuit?

Express your answer using two significant figures.

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Significant Figures Feedback: Your answer 2.2308 W was either rounded differently or used a different number of significant figures than required for this part.

Part D

What are the voltmeter readings across R and C?

Express your answer using two significant figures.

9797

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Part E

Express your answer using two significant figures.

2.6×102

Explanation / Answer

(D)

the voltage across resistor R is

V_R = I rms R = 2.6 * 10^-2 ( 3.3* 10^3) = 85.8 V

rounding to two significant V_R = 86 V

(E)

V_C = I rms ( 1/ 2pif C)

= 2.6 * 10^-2 ( 1/ 2pi (48) (.0.89 * 10^-6)

=96.86 V

V_C = 97 V

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