Two charges +10 μC and +6 μC are placed along the x axis, with the first charge at the origin (x = 0) and the second charge at x = +1 m. Find the magnitude and direction of the net force on a -6 nC charge when placed at the following locations below. Overall Hint a. halfway between the two charges: magnitude of force is direction is Select an answer b. on the x axis at x = -0.5 m: magnitude of force is Hint for (c) is Select an answer c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +6 µC charge in a direction perpendicular to the line joining the two fixed charges): Magnitude of force is degrees below -x axis. mN, and the mN, and the direction is mN, and the direction

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### Educational Exercise on Electrostatics

#### Problem Statement:
Two charges, +10 µC and +6 µC, are placed along the \( x \)-axis, with the first charge at the origin (\( x = 0 \)) and the second charge at \( x = +1 \) m. Find the magnitude and direction of the net force on a -6 nC charge when placed at the following locations below.

**Overall Hint**

1. **a. Halfway between the two charges:**
   - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the
   - Direction is \[Select an answer\].

2. **b. On the \( x \)-axis at \( x = -0.5 \) m:**
   - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the
   - Direction is \[Select an answer\].

3. **c. At the coordinate \(( x, y ) = (1 \text{ m}, 0.5 \text{ m})\) (half a meter above the +6 µC charge in a direction perpendicular to the line joining the two fixed charges):**
   - [Hint for (c)]
   - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the direction is \_\_\_\_\_\_\_\_\_ degrees below \( -x \)-axis.

---

### Detailed Graph/Diagram Explanation:

The image describes a scenario involving three point charges placed in a 2-dimensional setup along the \( x \)-axis. The charges include:

1. A +10 µC charge located at the origin \( (x = 0) \).
2. A +6 µC charge located 1 meter to the right of the origin \( (x = +1 \text{m}) \).
3. The position of the -6 nC charge to determine the net force varies among three specific locations given in parts (a), (b), and (c).

Various distances and angles will need to be calculated to determine the net force at each of the specified points, using principles of electrostatics, including Coulomb's Law.
Transcribed Image Text:### Educational Exercise on Electrostatics #### Problem Statement: Two charges, +10 µC and +6 µC, are placed along the \( x \)-axis, with the first charge at the origin (\( x = 0 \)) and the second charge at \( x = +1 \) m. Find the magnitude and direction of the net force on a -6 nC charge when placed at the following locations below. **Overall Hint** 1. **a. Halfway between the two charges:** - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the - Direction is \[Select an answer\]. 2. **b. On the \( x \)-axis at \( x = -0.5 \) m:** - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the - Direction is \[Select an answer\]. 3. **c. At the coordinate \(( x, y ) = (1 \text{ m}, 0.5 \text{ m})\) (half a meter above the +6 µC charge in a direction perpendicular to the line joining the two fixed charges):** - [Hint for (c)] - Magnitude of force is \_\_\_\_\_\_\_\_\_ mN, and the direction is \_\_\_\_\_\_\_\_\_ degrees below \( -x \)-axis. --- ### Detailed Graph/Diagram Explanation: The image describes a scenario involving three point charges placed in a 2-dimensional setup along the \( x \)-axis. The charges include: 1. A +10 µC charge located at the origin \( (x = 0) \). 2. A +6 µC charge located 1 meter to the right of the origin \( (x = +1 \text{m}) \). 3. The position of the -6 nC charge to determine the net force varies among three specific locations given in parts (a), (b), and (c). Various distances and angles will need to be calculated to determine the net force at each of the specified points, using principles of electrostatics, including Coulomb's Law.
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