A series combination of resistor and capacitor is connected across with an applied AC voltage source. Separate voltmeter reading across the resistor and capacitor give values of 50 V ( rms ) and 75 V

Question

A series combination of resistor and capacitor is connected across with an applied AC voltage source. Separate voltmeter reading across the resistor and capacitor give values of 50 V ( rms ) and 75 V (rms) respectively. The effective (rms) voltage of the source, is nearly

TestHub · Accepted Answer

To find the effective (rms) voltage of the source in a series RC circuit, we use the formula:

$V_{r m s} = V_{R}^{2} + V_{C}^{2}$

Given $V_{R} = 50 V$ and $V_{C} = 75 V$ ,

$V_{r m s} = (50 V)^{2} + (75 V)^{2} = 2500 + 5625 = 8125 \approx 90.14 V$

Thus, the effective voltage is approximately $90 V$ .

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