Show that the total instantaneous power in a balanced three-phase circuit is constant

Chapter 11, Problem 11.31

(choose chapter or problem)

Show that the total instantaneous power in a balanced three-phase circuit is constant and equal to \(1.5 V_{m} I_{m} \cos \theta_{\phi}\), where \(V_{m}\) and \(I_{m}\) represent the maximum amplitudes of the phase voltage and phase current, respectively.

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