The equipotential lines in a region of electric field are shown in the diagram below. For each path indicated below, what is the work done by the electric field in moving a charge q = +9.5 x 10 C along that path? Here Vo = +100 D 2V Vo -Vo A ov -2V0 -3Vo (a) from A to B WAB = 5.798 How is the work done by an electric field related to the potential difference between the initial and final locations? J (b) from A to C WAC = (c) from A to D WAD = ( (d) from D to C Woc -L
The equipotential lines in a region of electric field are shown in the diagram below. For each path indicated below, what is the work done by the electric field in moving a charge q = +9.5 x 10 C along that path? Here Vo = +100 D 2V Vo -Vo A ov -2V0 -3Vo (a) from A to B WAB = 5.798 How is the work done by an electric field related to the potential difference between the initial and final locations? J (b) from A to C WAC = (c) from A to D WAD = ( (d) from D to C Woc -L
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please need the correct answer to the given question.
**Diagram Explanation:**
The diagram consists of a grid overlaid with curved red lines representing equipotential lines. These lines are labeled with potential values:
- \( 3V_0 \) (highest potential)
- \( 2V_0 \)
- \( V_0 \)
- \( 0V \)
- \( -V_0 \)
- \( -2V_0 \)
- \( -3V_0 \) (lowest potential)
Points A, B, C, and D are marked on the grid, each located at specific intersections of equipotential lines.
**Work Calculation Paths:**
1. **From A to B**
\[
W_{AB} = \text{Enter Here} \, \text{J}
\]
*Note: The incorrect value of 5.798 was provided. Calculate the correct work based on the potential difference.*
**Question:** How is the work done by an electric field related to the potential difference between the initial and final locations?
2. **From A to C**
\[
W_{AC} = \underline{\hspace{1in}} \, \text{J}
\]
3. **From A to D**
\[
W_{AD} = \underline{\hspace{1in}} \, \text{J}
\]
4. **From D to C**
\[
W_{DC} = \underline{\hspace{1in}} \, \text{J}
\]
In each case, determine the work done \( W \) using the formula related to charge and potential difference:
\[
W = q \Delta V
\]
where \( \Delta V \) is the difference between the potentials at the initial and final positions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7824f8d0-65fb-442c-84f7-7ea5547717e1%2Fe5ed12c9-2789-4011-9fb7-dc5c1a3e0952%2Fm2xppxu_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Title: Analyzing Work Done in an Electric Field**
The equipotential lines in a region of an electric field are shown in the diagram below. For each path indicated, what is the work done by the electric field in moving a charge \( q = +9.5 \times 10^{-7} \, \text{C} \) along that path? Here, \( V_0 = +100 \, \text{V} \).
**Diagram Explanation:**
The diagram consists of a grid overlaid with curved red lines representing equipotential lines. These lines are labeled with potential values:
- \( 3V_0 \) (highest potential)
- \( 2V_0 \)
- \( V_0 \)
- \( 0V \)
- \( -V_0 \)
- \( -2V_0 \)
- \( -3V_0 \) (lowest potential)
Points A, B, C, and D are marked on the grid, each located at specific intersections of equipotential lines.
**Work Calculation Paths:**
1. **From A to B**
\[
W_{AB} = \text{Enter Here} \, \text{J}
\]
*Note: The incorrect value of 5.798 was provided. Calculate the correct work based on the potential difference.*
**Question:** How is the work done by an electric field related to the potential difference between the initial and final locations?
2. **From A to C**
\[
W_{AC} = \underline{\hspace{1in}} \, \text{J}
\]
3. **From A to D**
\[
W_{AD} = \underline{\hspace{1in}} \, \text{J}
\]
4. **From D to C**
\[
W_{DC} = \underline{\hspace{1in}} \, \text{J}
\]
In each case, determine the work done \( W \) using the formula related to charge and potential difference:
\[
W = q \Delta V
\]
where \( \Delta V \) is the difference between the potentials at the initial and final positions.
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