AC Circuits II: AC Power Generator

AI Thread Summary
The discussion revolves around solving a homework problem related to an AC circuit with a generator, inductor, capacitor, and resistor. Key calculations include determining the circuit's impedance, rms current, average power, peak current, and peak voltages across the inductor and capacitor. The participant is specifically seeking assistance with calculating the peak voltages for parts E and F, having encountered errors in their previous attempts. They have calculated the capacitive reactance and the rms voltage but are unsure about the relationship between peak and rms voltage. Clarification on these calculations and the resonance frequency is also requested.
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Homework Statement



A An AC generator supplies an rms voltage of 110 V at 60.0 Hz. It is connected in series with a 0.300 H inductor, a 5.80 μF capacitor and a 236 Ω resistor.
What is the impedance of the circuit?

B What is the rms current through the resistor?

C What is the average power dissipated in the circuit?

D What is the peak current through the resistor?

E What is the peak voltage across the inductor?

F What is the peak voltage across the capacitor?

G The generator frequency is now changed so that the circuit is in resonance. What is that new (resonance) frequency?

Homework Equations



Z=[R^2+(XL-Xc)^2]^(1/2)
XL=2pifL
Xc=1/(2pifc)

Part E: VL=[(2^.5)*Vrms]/Z
Part F: VL=[(2^.5)*Vrms]/Xc

The Attempt at a Solution



I need help for part E and F

I substituted the numbers in the equation and I got the wrong answer. Can someone point me in the right direction?

Xc=457.34
Vrms=110
Z=4.17×10^2
 
Last edited:
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Vrms across C = Irms* Xc
Now what is the relation between peak voltage and rms voltage?
 
Thank you!
 
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