15.17: RLC Series Circuits with AC (Q15.3.5)

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In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, an \(\displaystyle R=500Ω, L=0.20H,\) and \(\displaystyle C=2.0μF\).

(a) What is the impedance of the circuit?

(b) What is the amplitude of the current from the source?

(d) Repeat the calculations with i changed to 0.20μF.

Text Question

In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, an \(\displaystyle R=500Ω, L=0.20H,\) and \(\displaystyle C=2.0μF\).

(a) What is the impedance of the circuit?

(b) What is the amplitude of the current from the source?

(d) Repeat the calculations with i changed to 0.20μF.

A11YQuestion

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Answer

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Solution

a. \(\displaystyle 690Ω\);

b. 0.15 A;

c. \(\displaystyle I=(0.15A)sin(1000πt−0.753)\);

d. \(\displaystyle 1100Ω\), 0.092 A, \(\displaystyle I=(0.092A)sin(1000πt+1.09)\)

Hint

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Notes

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