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 = 34 Ohm transthoracic resistance, the capacitor voltage is to drop to half its initial value in 10 ms. Determine the capacitance (to the nearest) 10 mu F Express your answer to two significant figures and include the appropriate units. Determine initial capacitor voltage (to the nearest 100 V) that meet these specs. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Here ,

A)

Here , let he capacitance is C

for t = 10 ms , V = 0.5 * Vo

0.5 * Vo = Vo * e^(-t/T)

0.5 = e^(-0.010/T)

T = 0.0144 s = R * C

0.0144 = 34 * C

C = 424 uF = 420 uF

the capacitance is 420 uF

B)

Now ,as energy stored = 0.5 CV^2

250 = 0.5 * 420 *10^-6 * V^2

V = 1091 = 1100 V

the voltage needed is 1100 V

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