A 120 V-rms voltage is applied across a 6.0-μF capacitor and a 100-Ω resistor. If the frequency of the generator is 60 Hz, what is the rms value of the current in the circuit?
A) 0.26 A
B) 0.36 A
C) 0.46 A
D) 0.56 A
E) 0.76 A

Question

Quizplus · Accepted Answer

The rms current in the circuit is given by:$$I_{rms} = \frac{V_{rms}}{Z}$$where:$$V_{rms} = 120 V$$$$Z = \sqrt{R^2 + X_C^2}$$$$R = 100 \Omega$$$$X_C = \frac{1}{2\pi fC} = \frac{1}{2\pi (60 Hz)(6.0 \mu F)} = 424 \Omega$$Therefore:$$Z = \sqrt{100^2 + 424^2} = 436 \Omega$$And:$$I_{rms} = \frac{120 V}{436 \Omega} = 0.275 A$$The closest answer choice is 0.26 A, which is choice A.

A 120 V-Rms Voltage Is Applied Across a 6