The electric potential V as a function of position x is shown in the graph in the figure below. At x = 5 cm, the electric field is [ Select ] v. At x= 10 cm, the electric field is [Sect] [ Select ] directed in the negative x-direction and has a maximum magnitude. directed in the positive x-direction and has a maximum magnitude. zero. 10 V -10 V 10 15 x(cm) Potential V (V)
The electric potential V as a function of position x is shown in the graph in the figure below. At x = 5 cm, the electric field is [ Select ] v. At x= 10 cm, the electric field is [Sect] [ Select ] directed in the negative x-direction and has a maximum magnitude. directed in the positive x-direction and has a maximum magnitude. zero. 10 V -10 V 10 15 x(cm) Potential V (V)
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
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![The electric potential \( V \) as a function of position \( x \) is shown in the graph below. At \( x = 5 \, \text{cm} \), the electric field is:
- [ Select ]
At \( x = 10 \, \text{cm} \), the electric field is:
- [ Select ]
Options:
1. Directed in the negative \( x \)-direction and has a maximum magnitude.
2. Zero.
3. Directed in the positive \( x \)-direction and has a maximum magnitude.
**Graph Explanation:**
The graph plots Potential \( V \) (in volts) on the vertical axis against Position \( x \) (in centimeters) on the horizontal axis. The potential decreases from \( 10 \, \text{V} \) at \( x = 0 \, \text{cm} \) to \( 0 \, \text{V} \) around \( x = 7 \, \text{cm} \), reaches a minimum of approximately \(-10 \, \text{V}\) at \( x = 10 \, \text{cm} \), and then increases again towards the horizontal axis. The graph depicts a curve with both negative and positive slopes, indicating varying rates of change in potential.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a908816-dcaf-4aa4-8dd6-7dd2f0aea84f%2Fc333135c-6854-4566-bc0f-95ff5bf3e976%2Fdqqtten_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The electric potential \( V \) as a function of position \( x \) is shown in the graph below. At \( x = 5 \, \text{cm} \), the electric field is:
- [ Select ]
At \( x = 10 \, \text{cm} \), the electric field is:
- [ Select ]
Options:
1. Directed in the negative \( x \)-direction and has a maximum magnitude.
2. Zero.
3. Directed in the positive \( x \)-direction and has a maximum magnitude.
**Graph Explanation:**
The graph plots Potential \( V \) (in volts) on the vertical axis against Position \( x \) (in centimeters) on the horizontal axis. The potential decreases from \( 10 \, \text{V} \) at \( x = 0 \, \text{cm} \) to \( 0 \, \text{V} \) around \( x = 7 \, \text{cm} \), reaches a minimum of approximately \(-10 \, \text{V}\) at \( x = 10 \, \text{cm} \), and then increases again towards the horizontal axis. The graph depicts a curve with both negative and positive slopes, indicating varying rates of change in potential.
![**Graph Analysis: Electric Potential as a Function of Position**
The graph displays the electric potential \( V \) as a function of position \( x \).
### Features of the Graph:
- **Y-Axis (Vertical):** Represents the electric potential \( V \) in volts (V). It ranges from -10 V to 10 V.
- **X-Axis (Horizontal):** Represents the position \( x \) in centimeters (cm), ranging from 0 to 20 cm.
### Description:
The graph shows the behavior of electric potential:
- At \( x = 0 \) cm, the potential is at approximately 10 V.
- The potential decreases, reaching 0 V at about \( x = 5 \) cm.
- It further decreases to around -10 V at \( x = 10 \) cm.
- After \( x = 10 \) cm, the potential begins to increase, returning to 0 V just before \( x = 15 \) cm.
- It continues to rise toward a positive value close to 10 V as \( x \) approaches 20 cm.
### Additional Information:
There are dropdown selections in the text related to the electric field:
- **At \( x = 5 \) cm, the electric field is:** [Select]
- **At \( x = 10 \) cm, the electric field is:** [Select]
The dropdown options indicate possible directions and magnitudes of the electric field:
- Directed in the negative x-direction with maximum magnitude.
- Directed in the positive x-direction with maximum magnitude.
- Zero.
This graph and accompanying text provide insights into the relationship between electric potential and position, illustrating how potential varies with position and inferring the direction and magnitude of the electric field at specific points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a908816-dcaf-4aa4-8dd6-7dd2f0aea84f%2Fc333135c-6854-4566-bc0f-95ff5bf3e976%2F72mesvi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Graph Analysis: Electric Potential as a Function of Position**
The graph displays the electric potential \( V \) as a function of position \( x \).
### Features of the Graph:
- **Y-Axis (Vertical):** Represents the electric potential \( V \) in volts (V). It ranges from -10 V to 10 V.
- **X-Axis (Horizontal):** Represents the position \( x \) in centimeters (cm), ranging from 0 to 20 cm.
### Description:
The graph shows the behavior of electric potential:
- At \( x = 0 \) cm, the potential is at approximately 10 V.
- The potential decreases, reaching 0 V at about \( x = 5 \) cm.
- It further decreases to around -10 V at \( x = 10 \) cm.
- After \( x = 10 \) cm, the potential begins to increase, returning to 0 V just before \( x = 15 \) cm.
- It continues to rise toward a positive value close to 10 V as \( x \) approaches 20 cm.
### Additional Information:
There are dropdown selections in the text related to the electric field:
- **At \( x = 5 \) cm, the electric field is:** [Select]
- **At \( x = 10 \) cm, the electric field is:** [Select]
The dropdown options indicate possible directions and magnitudes of the electric field:
- Directed in the negative x-direction with maximum magnitude.
- Directed in the positive x-direction with maximum magnitude.
- Zero.
This graph and accompanying text provide insights into the relationship between electric potential and position, illustrating how potential varies with position and inferring the direction and magnitude of the electric field at specific points.
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