Chapter 26: Q. 34 (page 738)

The $90 m F$ capacitor in a defibrillator unit supplies an average of $6500 W$ of power to the chest of the patient during a discharge lasting $5.0 c m$ . To what voltage is the capacitor charged?

Short Answer

Expert verified

The capacitor is charged to $850 V$ voltage.

Step by step solution

Given information

We have given that The $90 m F$ capacitor in a defibrillator unit supplies an average of $6500 V$ of power to the chest of the patient during a discharge lasting 5.0 ms

Simplify

A capacitor of capacitance $C$ having stored energy $E$ charged at the potential difference $U$ is given by
$E = \frac{C U^{2}}{2}$ ,

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

$P = \frac{E}{t} \Rightarrow E = P t$

The equation can also be written as

$P t = \frac{C U^{2}}{2}$

Calculating the potential difference at which the capacitor is charged as

$U = \sqrt{\frac{2 P t}{c}}$

Using the numerical values. We get

localid="1648665048399" $U = \sqrt{\frac{(2) (6500) (0.005)}{90 \times 10^{- 6}}} = 850 V$

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The $90 m F$ capacitor in a defibrillator unit supplies an average of $6500 W$ of power to the chest of the patient during a discharge lasting $5.0 c m$ . To what voltage is the capacitor charged?

Short Answer

Step by step solution

Given information

Simplify

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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

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Solid State Physics

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Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.

The $90 m F$ capacitor in a defibrillator unit supplies an average of $6500 W$ of power to the chest of the patient during a discharge lasting $5.0 c m$ . To what voltage is the capacitor charged?