()2avg30.0V90.0W.2 5.00P==Ω(d) At maximum power, the reactances are equal: XL= XC. The phase angle φin this case may be found from tan,=−=XXRLC0 which implies = 0°. (e) At maximum power, the power factor is cos = cos 0° = 1. (f) The minimum average power is Pavg= 0 (as it would be for an open switch). (g) On the other hand, at minimum power XC∝1/Cis infinite, which leads us to set tan=−∞. In this case, we conclude that = –90°. (h) At minimum power, the power factor is cos = cos(–90°) = 0. 59. We shall use 22avg222.221/mmddRRPZRLCεεωω⎡⎤+−⎣⎦whereZRLC=+−221/bgis the impedance. (a) Considered as a function of C, Pavghas its largest value when the factor 221/Rhas the smallest possible value. This occurs for
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