Question

The reactance offered by a capacitor to
alternating current of frequency 50 Hz
is 20 ohm. If frequency is increased to 100
Hz, reactance becomes ...... ohms.​

Answer 1

Answer:

10 OHMS

Explanation:

We know that

Reactance of a capacitor is

XC=12πfC

Given that XC1=20Ω at 50 Hz

Then XC2at 100 Hz will be

XC1XC2=12πf1C12πf2C

Then on simplifying we get

XC1XC2=f2f1

XC2=202

Therefore the new reactance of the capacitor is

XC2=10Ω