Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

If you wish to take a picture of a bullet traveling at 500 m/s , then a very brief flash of light produced by an discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one RC constant is acceptable, and given that the flash is driven by a 600-mF capacitor, what is the resistance in the flash tube?

The resistance in the flash tube is $3.33 \times 10^{- 3} Ω$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of RC constant and resistance.

RC constant: The RC time constant is a measurement that tells us how long a cap will take to charge to a specific voltage level.

Resistance: The term "resistance" refers to anything that stands in the way of current flow.

Step 2: Given information

Bullet Speed= 500 m/s

Capacitor= $600 μF (\frac{10^{- 6} F}{1 μF}) = 6.00 \times 10^{- 4} F$

Step 3: Calculating the time taken by a bullet

Let us solve the given problem.

In this problem, we calculate the resistance necessary in and RC circuit to take a picture of a bullet with minimal blurring. The bullet travels at a speed of $V = 500 m / s$ . If $x = 1 mm (\frac{10^{- 3}}{1 mm}) = 1' 10^{- 3} m$ of motion is allowed during one time constant is acceptable, we first calculate the time it takes the bullet to travel 1 mm. This gives

$t = \frac{x}{v} = \frac{1' 10^{- 3} m}{500 m / s} = 2.00' 10^{- 6} s$

Step 4: Calculating the resistance

The time has to be equal to the time constant of the circuit.

For the capacitance, $C = 6.00' 10^{- 4} F$ , we have

role="math" localid="1656399114049" $t = RC R = \frac{t}{C} R = \frac{2 \times 10^{- 6} s}{6.00 \times 10^{- 4} F} R = 3.33 \times 10^{- 3} Ω$

Therefore, the resistance is $3.33 \times 10^{- 3} Ω$ .

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of RC constant and resistance.

Step 2: Given information

Step 3: Calculating the time taken by a bullet

Step 4: Calculating the resistance

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College Physics (Urone)

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Definition of RC constant and resistance.

Step 2: Given information

Step 3: Calculating the time taken by a bullet

Step 4: Calculating the resistance

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