The voltage and current being applied to a load are sinusoidal waveforms whose amplitudes are 50 V and 10 A, respectively. The phase angle between them is 30°. Find the reactive power of the load.

The voltage and current being applied to a load are sinusoidal waveforms whose amplitudes are 50 V and 10 A, respectively. The phase angle between them is 30°. Find the reactive power of the load. Correct Answer 125 VAr

Formula Used:

Active Power (P) = VI cos ϕ

Reactive Power (Q) = VI sin ϕ

Apparent power (S) = VI

Here, V is RMS voltage in volts and I is RMS current in A.

Application:

We have,

V_m = 50 V ⇒ V = 50/√2

I_m = 10 A ⇒ I = 10/√2

Hence,

VI = 250

Now,

Reactive Power (Q) = VI sin ϕ = 250 × sin (30°) = 125 VAr