Question

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

Answer 1

Given : $C=60\mu F$ $V_{rms}=110V$ $f=60Hz$
Capacitive reactance $X_c=\frac{1}{2\pi fC}=\frac{1}{2\pi \times 60\times 60\times {10}^{-6}}=44.23\Omega$
Rms value of current $I_{rms}=\frac{V_{rms}}{X_c}=\frac{110}{44.23}=2.5A$