In an AC series circuit the capacitive reactance is 200 W and frequency is 100 Hz.What is the capacitance?
A)3.2 mF
B)6.28 mF
C)8.0 mF
D)50.0 mF

Question

Quizplus · Accepted Answer

Capacitive reactance (Xc) is given by the formula: Xc = 1/2πfC
Where,
f = frequency = 100 Hz
Xc = 200 W
C = capacitance (unknown)

Rearranging the formula, we get:
C = 1/2πfXc
Plugging in the values, we get:
C = 1/(2π*100*200) = 7.96*10^-6 F
Converting to mF, we get:
C = 7.96 mF ≈ 8.0 mF
Therefore, the best choice is C) 8.0 mF because it is the closest option to the calculated capacitance value.

In an AC Series Circuit the Capacitive Reactance Is 200