Three point charges are located on a line: qı is +4µC, q2 is +6µC, and q3 is -7µC. Two charges are fixed in space as shown below. The third charge, q3, can be placed at location A, B, or C (each line is 1cm apart). For each of the three locations, calculate F1on3, F2on3, and Fnet. Draw the direction of these three forces.

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### Problem Statement:

Three point charges are located on a line: \( q_1 \) is \( +4 \mu C \), \( q_2 \) is \( +6 \mu C \), and \( q_3 \) is \( -7 \mu C \). Two charges are fixed in space as shown below. The third charge, \( q_3 \), can be placed at location A, B, or C (each line is 1 cm apart). For each of the three locations, calculate \( F_{1 \text{on} 3} \), \( F_{2 \text{on} 3} \), and \( F_{\text{net}} \). Draw the direction of these three forces.

### Diagram Explanation:

The diagram consists of a straight horizontal line with three positions labeled A, B, and C. These positions represent potential locations for the placement of the third charge, \( q_3 \).

- The position A is 1 cm to the left of \( q_1 \) (which is at the origin).
- The position B is 1 cm to the right of \( q_1 \) and 1 cm to the left of \( q_2 \).
- The position C is 1 cm to the right of \( q_2 \).

Markers on the diagram correspond to the following:

- \( q_1 \) at the origin \((0, 0)\) with a charge of \( +4 \mu C \).
- \( q_2 \) at position B (2 cm from the origin) with a charge of \( +6 \mu C \).

There is a dashed horizontal line extending through the points at A, B, C, with each interval representing a 1 cm separation.

### Instructions:

1. Calculate the force exerted on \( q_3 \) by \( q_1 \) (\( F_{1 \text{on} 3} \)).
2. Calculate the force exerted on \( q_3 \) by \( q_2 \) (\( F_{2 \text{on} 3} \)).
3. Determine the net force (\( F_{\text{net}} \)) at each position (A, B, and C).
4. Draw the direction of each of these three forces.

### Calculation Method Summary:

The force between two charges can be calculated using Coulomb's Law:
\[ F
Transcribed Image Text:### Problem Statement: Three point charges are located on a line: \( q_1 \) is \( +4 \mu C \), \( q_2 \) is \( +6 \mu C \), and \( q_3 \) is \( -7 \mu C \). Two charges are fixed in space as shown below. The third charge, \( q_3 \), can be placed at location A, B, or C (each line is 1 cm apart). For each of the three locations, calculate \( F_{1 \text{on} 3} \), \( F_{2 \text{on} 3} \), and \( F_{\text{net}} \). Draw the direction of these three forces. ### Diagram Explanation: The diagram consists of a straight horizontal line with three positions labeled A, B, and C. These positions represent potential locations for the placement of the third charge, \( q_3 \). - The position A is 1 cm to the left of \( q_1 \) (which is at the origin). - The position B is 1 cm to the right of \( q_1 \) and 1 cm to the left of \( q_2 \). - The position C is 1 cm to the right of \( q_2 \). Markers on the diagram correspond to the following: - \( q_1 \) at the origin \((0, 0)\) with a charge of \( +4 \mu C \). - \( q_2 \) at position B (2 cm from the origin) with a charge of \( +6 \mu C \). There is a dashed horizontal line extending through the points at A, B, C, with each interval representing a 1 cm separation. ### Instructions: 1. Calculate the force exerted on \( q_3 \) by \( q_1 \) (\( F_{1 \text{on} 3} \)). 2. Calculate the force exerted on \( q_3 \) by \( q_2 \) (\( F_{2 \text{on} 3} \)). 3. Determine the net force (\( F_{\text{net}} \)) at each position (A, B, and C). 4. Draw the direction of each of these three forces. ### Calculation Method Summary: The force between two charges can be calculated using Coulomb's Law: \[ F
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