54. We start with Eq. 33-76: P avg = E rms I rms cos φ = E rms µ E rms Z ¶µ R Z ¶ = E 2 rms R Z 2 . For a purely resistive circuit, Z = R , and this result reduces to Eq. 27-23 (with V replaced with E rms ). This is also the case for a series
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