A 103-Ω resistor is connected in series with a 13.9-µF capacitor and a 88-Hz,225-V (rms)line voltage.If electrical energy costs 3.1¢ per kWh,how much does it cost to leave this circuit connected for 20 hours?
A) 5.0¢
B) 117.4¢
C) 1.22¢
D) 11.7¢
E) 12.2¢

Question

A 103-Ω resistor is connected in series with a 13.9-µF capacitor and a 88-Hz,225-V (rms)line voltage.If electrical energy costs 3.1¢ per kWh,how much does it cost to leave this circuit connected for 20 hours?
A) 5.0¢
B) 117.4¢
C) 1.22¢
D) 11.7¢
E) ​12.2¢

Quizplus · Accepted Answer

The impedance of the circuit is calculated using the formula for series R-C circuits. The current is then found using Ohm's law. The power consumed is calculated using the formula P = I^2 * R. Finally, the energy cost is calculated by multiplying the power by the time and the cost per kWh.

A 103-Ω Resistor Is Connected in Series with a 13