Two charges +8 μC and +10 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 -3 nC charge when placed at the following locations below. Overall Hint a. halfway between the two charges: magnitude of force is 0.216 direction is in +x direction b. on the x axis at x = -0.5 m: magnitude of force is .984 direction is in +x direction c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +10 μC charge in a direction perpendicular to the line joining the two fixed charges): Hint for (c) Magnitude of force is 1.956 degrees below - x axis. O omN, and the x mN, and the direction is 83.66 OmN, and the X

icon
Related questions
Question
## Problem Statement

Two charges, +8 μC and +10 μC, are placed along the x-axis. The first charge is at the origin (x = 0), and the second charge is at x = +1 m. Find the magnitude and direction of the net force on a -3 nC charge when placed at the following locations:

### a. Halfway Between the Two Charges

- **Magnitude of force:** 0.216 mN
- **Direction:** in the +x direction

### b. On the x-axis at x = -0.5 m

- **Magnitude of force:** 0.984 mN
- **Direction:** in the +x direction

### c. At the Coordinate (x, y) = (1 m, 0.5 m) 

Half a meter above the +10 μC charge, in a direction perpendicular to the line joining the two fixed charges:

- **Magnitude of force:** 1.956 mN
- **Direction:** 83.66 degrees below the -x axis

### Additional Information

- **Overall Hint:** Available for guidance.
- **Hint for (c):** Designed to assist with part c.
- **Question Help:** Option to message the instructor for further clarification.
- **Submit Question:** Button to submit the solution.

This problem involves calculating electric forces using Coulomb's Law and understanding vector components for force direction.
Transcribed Image Text:## Problem Statement Two charges, +8 μC and +10 μC, are placed along the x-axis. The first charge is at the origin (x = 0), and the second charge is at x = +1 m. Find the magnitude and direction of the net force on a -3 nC charge when placed at the following locations: ### a. Halfway Between the Two Charges - **Magnitude of force:** 0.216 mN - **Direction:** in the +x direction ### b. On the x-axis at x = -0.5 m - **Magnitude of force:** 0.984 mN - **Direction:** in the +x direction ### c. At the Coordinate (x, y) = (1 m, 0.5 m) Half a meter above the +10 μC charge, in a direction perpendicular to the line joining the two fixed charges: - **Magnitude of force:** 1.956 mN - **Direction:** 83.66 degrees below the -x axis ### Additional Information - **Overall Hint:** Available for guidance. - **Hint for (c):** Designed to assist with part c. - **Question Help:** Option to message the instructor for further clarification. - **Submit Question:** Button to submit the solution. This problem involves calculating electric forces using Coulomb's Law and understanding vector components for force direction.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer