Three capacitors, a 12 μF, a 20 μF, and a 30 μF, are connected in series to a 60 Hz source. What is the total XC?
A) 226.42 Ω
B) 342.78 Ω
C) 442.09 Ω
D) 566.32 Ω

Question

Quizplus · Accepted Answer

The total capacitance (C_total) for capacitors in series is given by 1/C_total = 1/C1 + 1/C2 + 1/C3. Calculating this gives C_total = 5.45 μF. The capacitive reactance (XC) is calculated using XC = 1/(2πfC), where f = 60 Hz. Substituting the values gives XC ≈ 442.09 Ω.

Three Capacitors, a 12 μF, a 20 μF, and a 30