A resistor of resistance $40 \Omega$, a capacitor of capacitive $20 \Omega$ and an inductor of inductive…
A resistor of resistance $40 \Omega$, a capacitor of capacitive $20 \Omega$ and an inductor of inductive reactance $50 \Omega$ are connected in series to an ac source of $100 \mathrm{~V}$. The current through the circuit is
$0.5 \mathrm{~A}$
$1 \mathrm{~A}$
$1.5 \mathrm{~A}$
$2 \mathrm{~A}$
Solution
The current through the circuit as
$
\begin{aligned}
& i=\frac{V}{Z} \\
& =\frac{V}{\sqrt{R^2+\left(X_L-X_C\right)^2}}=\frac{100}{\sqrt{(0)^2+(50-120)^2}} \\
& =\frac{100}{\sqrt{1600+900}}=2 A
\end{aligned}
$