# 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?

###### 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?