Question

A 30 $\mu$F 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. 2.7 A

Answer 1

Answer: (B)

1.7 A

Here, $C=30\times {10}^{-6}F,V_{rms}=150V,\nu =60Hz$

Capacitive reactance is given by:

$X_C=\frac{1}{\omega C}$

$=\frac{1}{2\pi \nu C}=88.46\Omega$

So, $I_{rms}=\frac{V_{rms}}{X_C}$

$=\frac{150}{88.46}=1.7A$