Question

A $60\mu$F capacitor is connected to a $110$V. $60$Hz a.c. supply. Determine the rms value of the current in the circuit.

Answer 1

Rms value of voltage $V_{rms}=110V$
Frequency of AC source $f=60Hz$
Capacitance $C=60\times {10}^{-6}F$
Capacitive reactance $X_C=\frac{1}{2\pi fC}=\frac{1}{2\pi \times 60\times 60\times {10}^{-6}}=44.2\Omega$
Rms value of current $I_{rms}=\frac{V_{rms}}{X_C}=\frac{110}{44.2}=2.5A$