During a lightning storm, a lighting bolt causes 100 C of charge to move through a potential difference of 5 x 105 V. If the power associated with the lightening strike is 4 x 108 W, how long did the strike last? 0.350 s 0.125 s 100 s 0.023 S None of the above
During a lightning storm, a lighting bolt causes 100 C of charge to move through a potential difference of 5 x 105 V. If the power associated with the lightening strike is 4 x 108 W, how long did the strike last? 0.350 s 0.125 s 100 s 0.023 S None of the above
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Electric Potential
Section: Chapter Questions
Problem 25.3CQ: When charged particles are separated by an infinite distance, the electric potential energy of the...
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![### Question 9 of 22
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**Problem Statement:**
During a lightning storm, a lightning bolt causes 100 C of charge to move through a potential difference of \(5 \times 10^5\) V. If the power associated with the lightning strike is \(4 \times 10^8\) W, how long did the strike last?
**Options:**
- ( ) 0.350 s
- ( ) 0.125 s
- ( ) 100 s
- ( ) 0.023 s
- ( ) None of the above
### Explanation:
To determine how long the lightning strike lasted, we need to use the equation relating power (P), voltage (V), charge (Q), and time (t). The equation is derived from the relationship:
\[ P = \frac{V \times Q}{t} \]
Rearranging the formula to solve for time (t), we get:
\[ t = \frac{V \times Q}{P} \]
Substitute the given values into the equation:
\[ V = 5 \times 10^5 \, \text{V} \]
\[ Q = 100 \, \text{C} \]
\[ P = 4 \times 10^8 \, \text{W} \]
So,
\[ t = \frac{5 \times 10^5 \, \text{V} \times 100 \, \text{C}}{4 \times 10^8 \, \text{W}} \]
\[ t = \frac{5 \times 10^7}{4 \times 10^8} \]
\[ t = 0.125 \, \text{s} \]
Therefore, the correct answer is:
- (•) 0.125 s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45c459d4-c7f0-416a-8b1d-00b29b90700e%2Fccb90b63-b0be-4dab-b0c1-80f537d3e4f2%2Frmp74ua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 9 of 22
---
**Problem Statement:**
During a lightning storm, a lightning bolt causes 100 C of charge to move through a potential difference of \(5 \times 10^5\) V. If the power associated with the lightning strike is \(4 \times 10^8\) W, how long did the strike last?
**Options:**
- ( ) 0.350 s
- ( ) 0.125 s
- ( ) 100 s
- ( ) 0.023 s
- ( ) None of the above
### Explanation:
To determine how long the lightning strike lasted, we need to use the equation relating power (P), voltage (V), charge (Q), and time (t). The equation is derived from the relationship:
\[ P = \frac{V \times Q}{t} \]
Rearranging the formula to solve for time (t), we get:
\[ t = \frac{V \times Q}{P} \]
Substitute the given values into the equation:
\[ V = 5 \times 10^5 \, \text{V} \]
\[ Q = 100 \, \text{C} \]
\[ P = 4 \times 10^8 \, \text{W} \]
So,
\[ t = \frac{5 \times 10^5 \, \text{V} \times 100 \, \text{C}}{4 \times 10^8 \, \text{W}} \]
\[ t = \frac{5 \times 10^7}{4 \times 10^8} \]
\[ t = 0.125 \, \text{s} \]
Therefore, the correct answer is:
- (•) 0.125 s
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