Find the complex power, average power, and reactive power for the following: v(t) = 339.4 sin (377t + 90°) V, i(t) = 5.657 sin (377t + 60°) A

Explanation:

Given that:

v(t) = 339.4 sin(377t + 90°) V

i(t) = 5.657 sin (377t + 60°) A

v = 339.4 ∠ 90°      

i = 5.657∠60°        

The phase difference = 30

The average power can be expressed as:

The reactive power Q is as follow;

Q = 479.99 VAR

The complex power S =  P + jQ

The complex power S = 831.38 W + j479.99 VAR

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