Question

A $220V$, $50Hz$ AC generator is connected to an inductor and a $50\Omega$ resistance in series. The current in the circuit is $1.0A$. What is the Potential difference across inductor?

• A. $102.2V$
• B. $186.4V$
• C. $214V$
• D. $170V$

Answer 1

Answer: (C)

$214V$

$\left|Z\right|=\frac{V_{rms}}{I_{rms}}=\frac{220}{1}=220\Omega$

$X_L=\sqrt{{\left|Z\right|}^2-R^2}=214H$

$V_L=\frac{X_L}{\left|Z\right|}{V}_{rms}=\frac{214}{220}220=214V$