A capacitor is connected into a 480-V, 60-Hz circuit. An ammeter indicates a current flow of 2.6 A. What is the capacitance value of the capacitor?
The first step is to compute the value of capacitive reactance. Since capacitive reactance, like resistance, limits current flow, it can be substituted for R in an Ohm’s law formula.
X_C=\frac{E}{I}
X_C=\frac{480}{2.6}
X _{ C }=184.61~ \Omega
Now that the capacitive reactance of the circuit is known, the value of capacitance can be found.
C=\frac{1}{2\pi F X_C}
C=\frac{1}{2~ \times ~3.1416~ \times ~60~ \times ~184.61}
C=\frac{1}{69,596.49}
C = 0.00001437 F = 14.37 µF