Chapter 12 Alternating-Current Circuits

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The average value of current over one period can be obtained as: 0 000 0 11 2 () sin sin 0 TTT R RRR I t I t I t dt I t dt dt TTTT π ==∫∫ω =∫= (12.2.3) This average vanishes because 0 1 sin sin 0 T t t T ω= ∫ ωdt = (12.2.4) Similarly, one may find the following relations useful when averaging over one period: 12-4

  Current, Over, Over current