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Chapter 26: Q. 34 (page 738)

The 90mFcapacitor in a defibrillator unit supplies an average of 6500Wof power to the chest of the patient during a discharge lasting 5.0cm. To what voltage is the capacitor charged?

Short Answer

Expert verified

The capacitor is charged to850Vvoltage.

Step by step solution

01

Given information

We have given that The 90mFcapacitor in a defibrillator unit supplies an average of 6500Vof power to the chest of the patient during a discharge lasting 5.0 ms

02

Simplify

A capacitor of capacitance Chaving stored energyEcharged at the potential differenceU is given by
E=CU22,

while we know that the power, by definition, is the work done--that is, decrease energy--per unit of time. This means the energy will be expressed in function of the power and the time as

P=Et⇒E=Pt

The equation can also be written as

Pt=CU22

Calculating the potential difference at which the capacitor is charged as

U=2Ptc

Using the numerical values. We get

localid="1648665048399" U=(2)(6500)(0.005)90×10-6=850V

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