An alternating voltage of 240 V (rms) is applied across a series combination of a 12 \, resistor, an inductor of reactance 30 \, , and a capacitor of reactance 14 \, . What is the rms current drawn from the source and

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Quantrex Academy · Accepted Answer

Correct answer: B. 12 A and 0.6

The net reactance of the series RLC circuit is given by:

X = X_L - X_C = 30 - 14 = 16 \,\Omega

The impedance of the circuit is:

Z = \sqrt{R^2 + X^2} = \sqrt{12^2 + 16^2} = \sqrt{144 + 256} = 20 \,\Omega

The rms current drawn from the source is:

I_{\text{rms}} = \dfrac{V_{\text{rms}}}{Z} = \dfrac{240}{20} = 12 \text{ A}

The power factor of the circuit is:

\cos \phi = \dfrac{R}{Z} = \dfrac{12}{20} = 0.6

Answer:

12 \text{ A}

and

0.6

An alternating voltage of 240 V (rms) is applied across a series...

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