How Does Adding a Capacitor Affect Current in an AC Circuit?

[arod2812]

Homework Statement

A light bulb has a resistance of 212 . It is connected to a standard wall socket (120 V, 60.0 Hz). (a) Determine the current in the bulb. (b) Determine the current in the bulb after a 13.2-μF capacitor is added in series in the circuit.

Homework Equations

R, V, f are given. I don't know how to start incorporate these figures without a value for Z. Am I forgetting a another important equation?

The Attempt at a Solution

I used the equations:
X(sub L)=2pifL
Irms=Vrms/Z

 

[cepheid]

The Attempt at a Solution

I used the equations:
X(sub L)=2pifL

Why? There is no inductor in the circuit!

Irms=Vrms/Z

Okay, good. Z is the impedance. What is the impedance of the circuit with just the resistor? What about after adding a capacitor?