### 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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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.

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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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

### 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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