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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 4.5*uF* capacitor are in series, and are connected to an AC source: V(t) = V_{0}cos(wt + 45°). The maximum voltage V_{o }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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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 .