Question

an ac circuit is shown in the figure. the rms current in the circuit is measured to be 1.8 a. what is the capacitance of the capacitor?

Answer 1

answer = 23 uF

Answer 2

The RMS current in an AC circuit with a capacitor can be calculated using Ohm's Law for capacitive reactance.

Step-by-step explanation:

In an AC circuit with a capacitor, the RMS current is limited by the capacitor's effective resistance to AC. This is given by another version of Ohm's law. The formula to calculate the RMS current I in a circuit containing only a capacitor C is:

I = V / XC

Where V is the rms voltage across the capacitor and XC is the capacitive reactance. Capacitive reactance can be calculated using the formula:

XC = 1 / (2πfC)

Where f is the frequency of the AC voltage and C is the capacitance of the capacitor.