Series LRC Circuits Video Lessons

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Problem: A 250Ω resister, a 20mH inductor, and a 4.5uF capacitor are in series, and are connected to an AC source: V(t) = V0cos(wt + 45°). The maximum voltage Vo is 45V and the angular frequency w is 350 rad/s. a) Calculate the rms current. b) Calculate the power factor. c) How much power is delivered by the AC source? d) Is this power delivered by the source more or less than that consumed by the resistor?

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Problem Details

A 250Ω resister, a 20mH inductor, and a 4.5uF capacitor are in series, and are connected to an AC source: V(t) = V0cos(wt + 45°). The maximum voltage Vis 45V and the angular frequency w is 350 rad/s.

a) Calculate the rms current.

b) Calculate the power factor.

c) How much power is delivered by the AC source?

d) Is this power delivered by the source more or less than that consumed by the resistor?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Series LRC Circuits concept. You can view video lessons to learn Series LRC Circuits. Or if you need more Series LRC Circuits practice, you can also practice Series LRC Circuits practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Douglas took 18 minutes and 23 seconds to solve this problem. You can follow their steps in the video explanation above.