Question

As the frequency of the ac voltage across a capacitor approaches zero, the capacitive reactance of that capacitor:___________.

A) approaches zero.
B) approaches infinity.
C) approaches unity.
D) none of the given answers

Answer 1

B) approaches infinity

Step-by-step explanation:

The capacitive reactance of an AC capacitor is given by;

`X_C = (1)/(\omega C ) = (1)/(2\pi f C)`

Where;

C is the capacitance

f is the frequency of the ac voltage

`X_C = (1)/(\omega C) = (1)/(2\pi f C) \\\\X_C = (1)/(2\pi f C) \\\\X_C = (1)/(2\pi (0) C) \\\\X_C = (1)/(0) \\\\X_C = \ infinity`

Therefore, as the frequency of the ac voltage across a capacitor approaches zero, the capacitive reactance of that capacitor approaches infinity.

The correct option is (B) approaches infinity