Question

A $30 \, μF$ capacitor is connected to a $150 \, V, \, 60 \, Hz$ AC supply. The RMS value of current in the circuit is

• A. $17 \, A$
• B. $1.7 \, A$
• C. $1.7 \, mA$
• D. $1.7 \, μA$

Answer 1

Answer: (B)

Given that
$C=30 \, μF=30\times 10^{- 6} \, F$
$V=150 \, V, \, f=60 \, Hz$
$I_{r m s}=\frac{V}{X_{C}}=\frac{150}{\frac{1}{\omega C}}$
$=150\times \omega C$
$=150\times 2\pi f\times C$
$=150\times 2\times 3.14\times 60\times 30\times 10^{- 6}$
$=1.6956 \, A\sim eq1.7 \, A$