Question

An AC circuit consists of a $220\Omega$ resistance and $0.7\text{H}$ choke. Find the average power absorbed from $220\text{V}$ and $50\text{Hz}$ source connected in this circuit if the resistance and choke are joined in parallel.

• A. $110\text{W}$
• B. $220\text{W}$
• C. $310\text{W}$
• D. $410\text{W}$

Answer 1

The correct option is B $220\text{W}$

When the resistance and choke are in parallel, the entire power is absorbed in resistance, as the choke having small resistance absorbs negligible power.

So, the average power,

$P_{\text{avg}}=E_{\text{rms}}{i}_{\text{rms}}\cos \varphi =E_{\text{rms}}\times \frac{E_{\text{rms}}}{R}\times \cos 0^{\circ }=\frac{E_{\text{rms}}^2}{R}$

$\Rightarrow P_{\text{avg}}=\frac{{220}^2}{220}=220\text{W}$

Hence, option $\left(B\right)$ is the correct answer.