Question 208: AC fundamentals

Question

An inductor of $$0.5 ~\mathrm{mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and resistance of $$20 ~\Omega$$ are connected in series with a $$220 \mathrm{~V}$$ ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $$\sqrt{x}$$ A. The value of $$x$$ is ___________

Accepted Answer

$$
X_L=X_C
$$
So, $\mathrm{Z}=\mathrm{R}=20 \Omega$
$$
\begin{aligned}
& \mathrm{i}_{\mathrm{rms}}=\frac{220}{20}=11 \\
& \mathrm{i}_{\max }=11 \sqrt{2}=\sqrt{242}
\end{aligned}
$$

AC fundamentals

An inductor of $0.5 ~\mathrm{mH}, a capacitor of 20 ~\mu \mathrm{F} and resistance of 20 ~\Omega are connected in series with a 220 \mathrm{~V} ac source. If the current is in phase with the emf, the amplitude of current of the circuit is \sqrt{x} A. The value of x$ is ___________

Integer / Numeric Answer Type