Question

A $15\mu \text{F}$ capacitor is connected to $(220\text{V}$, $50\text{Hz})$ source. The RMS value of current in the circuit is nearly -

• A. $1.52\text{A}$
• B. $1.04\text{A}$
• C. $0.92\text{A}$
• D. $1.72\text{A}$

Answer 1

The correct option is B $1.04\text{A}$

Capacitive reactance is given as,

$X_C=\frac{1}{2\pi nC}=\frac{1}{2\pi \times 50\times (15\times {10}^{-6})}\approx 212\Omega$

Now,

$I_{RMS}=\frac{V_{RMS}}{X_C}=\frac{220}{212}\approx 1.04\text{A}$