Chapter 26: Q. 67 (page 740)

The flash unit in a camera uses a $3.0 V$ battery to charge a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes $10 μ s$ , and the average power dissipated in the flashlamp is $10 W$ . What is the capacitance of the capacitor?

Short Answer

Expert verified

The capacitance of the capacitor is $22 μ F .$

Step by step solution

Given Information

Camera Voltage $= 3.0 V$

Time $= 10 μ s$

Power $= 10 W$

Explanation

The energy $E$ provided by a capacitor with capacitance $C$ charged to $U$ potential difference is given by

$E = \frac{C U^{2}}{2}$

From this we can express the capacitance as

$C = \frac{2 E}{U^{2}}$

We can calculate the capacitance stored in a capacitor by calculating the average power discharged and the time duration is,

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

Substituting this expression at the one for the capacitance we find

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

Then the expression will be,

localid="1648632271586" $C = (\frac{2 \times 10 W \times 1 \cdot 10^{- 5} μ s}{3 V^{2}})$

Substitute the values,

$= 2.2 \cdot 10^{- 5} F$

Hence, the capacitance of the capacitor is $22 μ F .$

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The flash unit in a camera uses a $3.0 V$ battery to charge a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes $10 μ s$ , and the average power dissipated in the flashlamp is $10 W$ . What is the capacitance of the capacitor?

Short Answer

Step by step solution

Given Information

Explanation

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The flash unit in a camera uses a 3.0Vbattery to charge a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes 10μs, and the average power dissipated in the flashlamp is 10W. What is the capacitance of the capacitor?

Short Answer

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Conservation of Energy and Momentum

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Solid State Physics

Study anywhere. Anytime. Across all devices.

The flash unit in a camera uses a $3.0 V$ battery to charge a capacitor. The capacitor is then discharged through a flashlamp. The discharge takes $10 μ s$ , and the average power dissipated in the flashlamp is $10 W$ . What is the capacitance of the capacitor?