Question

A resistor of resistance $30\Omega$, inductor of reactance $10\Omega$ and capacitor of reactance $10\Omega$ are connected in series to an ac voltage source $ϵ=300\sqrt{2}sin\omega t$. The current in the circuit is

• A. $10\sqrt{2}A$
• B. $10A$
• C. $30\sqrt{11}A$
• D. $\frac{30}{\sqrt{11}}A$

Answer 1

The correct option is A $10\sqrt{2}A$

$\begin{array}{c}Z=\sqrt{R^2+{\left(X_L-X_c\right)}^2}\\ Z=\sqrt{{30}^2}\\ Z=30\\ V_s=300\sqrt{2}\\ I=\frac{V_s}{Z}=10\sqrt{2}\end{array}$