Question

For the given AC RLC circuit, at a particular frequency of the AC source, if the rms current in the circuit is $5\text{A}$, find the total power supplied by the source.

• A. $400\text{W}$
• B. $500\text{W}$
• C. $600\text{W}$
• D. $700\text{W}$

Answer 1

The correct option is B $500\text{W}$

The impedance of the circuit is,

$Z=\sqrt{R^2+{(X_L-X_C)}^2}$

$\Rightarrow Z=\sqrt{{16}^2+(24-12{)}^2}=20\Omega$

The total power supplied by the source is,

$S=E_{\text{rms}}{I}_{\text{rms}}=I_{\text{rms}}^{2}Z$

$\Rightarrow S=5^2\times 20=500\text{W}$

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