Question

A 60 μF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit

Answer 1

Capacitance of capacitor, C = 60 µF = 60 × 10−6 F

Supply voltage, V = 110 V

Frequency, ν = 60 Hz

Angular frequency, ω= 2 ν

Capacitive reactance,

$XC=\frac{1}{ωC}=\frac{1}{2πVC}=\frac{1}{2πX60X60X10^-6}Ω$

rms value of current is given as:

$I=\frac{V}{X_C}=\frac{220}{2πX60X60X10^{-6}}=2.49 A$

Hence, the rms value of current is 2.49 A.