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Inductors - Technical MCQs

Q1:

A 24 V peak source is connected across a 900 mu.gifH inductor. If the frequency of the source is 22 kHz, what is the reactive power?

A 2.3 VAR

B 4.6 VAR

C 9.3 VAR

D 0 VAR

ANS:A - 2.3 VAR

Reactive Power Q= (E^2)/XL.

where XL =2*π*f*l ==> 2*(3.14)*(22000)*(900*(10^(-6))) ==>124.407 ohm.
E=Vp*0.707 = 24*0.707 = 16.698 volts,

Therefor,
Q = ((16.698)^2)/(124.407),
Q=2.314 VAR,
Reactive power approx 2.3 VAR as per option A.