p33_061 - 61. (a) The rms current is Irms = Erms = Z = Erms...

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61. (a) The rms current is I rms = E rms Z = E rms p R 2 +(2 πfL 1 / 2 πfC ) 2 = 75 . 0V q (15 . 0Ω) 2 + { 2 π (550 Hz)(25 . 0mH) 1 / [2 π (550 Hz)(4 . 70 µ F)] } 2 =2 . 59 A . (b) The various rms voltages are: V ab = I rms R =(2 . 59 A)(15 . 0Ω)=38 . 8V V bc = I rms X C = I rms 2 = 2 . 59 A 2 π (550 Hz)(4 . 70 µ F) = 159 V V cd = I rms X L πI rms fL π (2 . 59 A)(550 Hz)(25 . 0 mH) = 224 V V bd = | V bc V cd | = | 159 . 5V 223 . 7V
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