What maximum current is delivered to a 2.58 mu F capacitor when connected across
ID: 2264403 • Letter: W
Question
What maximum current is delivered to a 2.58 mu F capacitor when connected across a North American outlet having rms voltage 120 V and frequency 60 Hz? Answer in units of mA 011 (part 2 of 2) 10.0 points For the same capacitor, calculate the maximum current for a European outlet having rms voltage 240 V and frequency 50 Hz. Answer in units of mAExplanation / Answer
a) X = 1/wC = 1/(2 pi f C) ===> ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Imax = sqrt(2) Irms = sqrt(2) (Vrms/X) = sqrt(2) (2 pi f C Vrms) = sqrt(2) * (2*3.1416*60*2.58e-6*120) ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> Imax = 165 A ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- b) X = 1/wC = 1/(2 pi f C) ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Imax = sqrt(2) Irms = sqrt(2) (Vrms/X) = sqrt(2) (2 pi f C Vrms) = sqrt(2) * (2*3.1416*50*2.58e-6*240) ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ==> Imax = 275 A
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