Two point charges qı = +15.0 µC and q2 = -25.0 µC are located on the x-axis at x = 0 and x = 1.50 m, respectively. Where on the x-axis is the net electric field equal to zero? Include a vector diagram of the situation. [Diagram 3 pts.]
Two point charges qı = +15.0 µC and q2 = -25.0 µC are located on the x-axis at x = 0 and x = 1.50 m, respectively. Where on the x-axis is the net electric field equal to zero? Include a vector diagram of the situation. [Diagram 3 pts.]
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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![**Problem Statement:**
Two point charges \( q_1 = +15.0 \, \mu \text{C} \) and \( q_2 = -25.0 \, \mu \text{C} \) are located on the x-axis at \( x = 0 \) and \( x = 1.50 \, \text{m} \), respectively. Where on the x-axis is the net electric field equal to zero? Include a vector diagram of the situation. [Diagram 3 pts.]
**Explanation:**
In this problem, you are asked to determine the point on the x-axis where the net electric field due to the given charges is zero. The vector diagram should illustrate the position of each charge on the x-axis and the direction of the electric field they produce. The electric field vectors from each charge should be represented, showing their directions and relative magnitudes.
1. **Charges and Positions:**
- \( q_1 = +15.0 \, \mu \text{C} \) is located at \( x = 0 \).
- \( q_2 = -25.0 \, \mu \text{C} \) is located at \( x = 1.50 \, \text{m} \).
2. **Electric Field Directions:**
- The electric field produced by a positive charge points away from the charge.
- The electric field produced by a negative charge points toward the charge.
3. **Objective:**
- Find the point on the x-axis where the magnitudes of the electric fields from both charges are equal and opposite, resulting in a net electric field of zero.
4. **Diagram:**
- The diagram should represent the x-axis with the positions of \( q_1 \) and \( q_2 \).
- Electric field vectors should be shown emanating from the charges in their respective directions.
- Highlight the point on the x-axis where the net electric field is zero.
This educational description should help guide someone studying electric fields through the problem-solving process.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf17720e-6435-4e10-b840-c4afcb76353c%2F5bc49266-51db-4eeb-8e13-5dce7f8992d9%2Fn4bsvyn_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Two point charges \( q_1 = +15.0 \, \mu \text{C} \) and \( q_2 = -25.0 \, \mu \text{C} \) are located on the x-axis at \( x = 0 \) and \( x = 1.50 \, \text{m} \), respectively. Where on the x-axis is the net electric field equal to zero? Include a vector diagram of the situation. [Diagram 3 pts.]
**Explanation:**
In this problem, you are asked to determine the point on the x-axis where the net electric field due to the given charges is zero. The vector diagram should illustrate the position of each charge on the x-axis and the direction of the electric field they produce. The electric field vectors from each charge should be represented, showing their directions and relative magnitudes.
1. **Charges and Positions:**
- \( q_1 = +15.0 \, \mu \text{C} \) is located at \( x = 0 \).
- \( q_2 = -25.0 \, \mu \text{C} \) is located at \( x = 1.50 \, \text{m} \).
2. **Electric Field Directions:**
- The electric field produced by a positive charge points away from the charge.
- The electric field produced by a negative charge points toward the charge.
3. **Objective:**
- Find the point on the x-axis where the magnitudes of the electric fields from both charges are equal and opposite, resulting in a net electric field of zero.
4. **Diagram:**
- The diagram should represent the x-axis with the positions of \( q_1 \) and \( q_2 \).
- Electric field vectors should be shown emanating from the charges in their respective directions.
- Highlight the point on the x-axis where the net electric field is zero.
This educational description should help guide someone studying electric fields through the problem-solving process.
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