Question

(a) What is the maximum current in a 5.00-µF capacitor when it is connected across a...

(a) What is the maximum current in a 5.00-µF capacitor when it is connected across a North American electrical outlet having ΔVrms = 120 V and f = 60.0 Hz?

_________________mA

(b) What is the maximum current in a 5.00-µF capacitor when it is connected across a European electrical outlet having ΔVrms = 240 V and f = 50.0 Hz?

____________________mA

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Answer #1

1)current I = voltage/capacitive reactance =V/Xc

capacitive reactance Xc =1/2fC =1/(2x60x5x10-6) =530.52 ohm

voltage =V=120V

current=120/530.52 ohm =0.2262=226.2mA

maximum current=226.2mAx 1.414 =320mA

2)

current I = voltage/capacitive reactance =V/Xc

Xc =1/2fC =1/(2x50x5x10-6) =636.62 ohm

voltage V=240V

current=240V/636.62 ohm = 0.377A =377mA

maximum current=377mAx 1.414 =533 mA

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