A 100 µF capacitor is connected to a 120 V, 60 Hz power line. What is the capacitive reactance of this circuit?
A) 0.04 $\Omega$
B) 43.7 $\Omega$
C) 26.54 $\Omega$
D) 94.2 $\Omega$

Question

A 100 µF capacitor is connected to a 120 V, 60 Hz power line. What is the capacitive reactance of this circuit?
A) 0.04  $\Omega$
B) 43.7  $\Omega$
C) 26.54  $\Omega$
D) 94.2  $\Omega$

Quizplus · Accepted Answer

The capacitive reactance (Xc) is given by the formula:

Xc = 1/(2πfC)

Where f is the frequency and C is the capacitance.

In this case, f = 60 Hz and C = 100 µF = 0.0001 F.

Plugging these values into the formula:

Xc = 1/(2π(60)(0.0001))
Xc = 26.54 Ω (rounded to two decimal places)

Therefore, the answer is choice C.

A 100 µF Capacitor Is Connected to a 120 V Ω\OmegaΩ

A 100 µF Capacitor Is Connected to a 120 V $\Omega$