An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 omega.

Question

An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 omega.

Answer 1

Capacitive reactance in ohms is given by X_c = 1/(2πfC) where f is frequency and C is capacitance in Farads.

Rearranging we get f = 1/2πX_cC. Putting in the given values:

f = 1/(2*3.1416*375*3.25 10^-6 = 131 sec^-1