You\'re designing an external defibrillator that discharges a capacitor through

Question

You're designing an external defibrillator that discharges a capacitor through the patient's body, providing a pulse that stops ventricular fibrillation. Specifications call for a capacitor storing 250 J of energy; when discharged through a body with R = 31 transthoracic resistance, the capacitor voltage is to drop to half its initial value in 10 ms.

1. Determine the capacitance (to the nearest ) 10 F).

Express your answer to two significant figures and include the appropriate units.

2. Determine initial capacitor voltage (to the nearest 100 V) that meet these specs.

Explanation / Answer

the capacitor voltage is to drop to half its initial value in 10 ms .
t = 0.7*R*C = 10x10-3
0.7 * 31 * C =10-2
C = 10-2/(31*0.7)

C = 0.000460829F

C = 460 F

C = 4.6 x 102 µF

W = ½*C*V2
250 = 0.5*0.000460829 * v2
v2 = 250 / (0.000460829 *0.5)

v2 = 1.085 x 106

v = 1041.633 volts

v = 1000 volts

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