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.]

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Chapter1: Units, Trigonometry. And Vectors
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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.
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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