1.0 nC A + 1 cm -1.0 nC B X 1 cm 4.0 nC C+

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Chapter1: Units, Trigonometry. And Vectors
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What is the magnitude of the electric force on charge AA in (Figure 1)?

### Electrical Charges and Forces

In this diagram, three point charges are arranged in a straight line. The charges are labeled A, B, and C, and their positions and magnitudes are as follows:

- **Charge A:** Located on the left side, has a positive charge of \( +1.0 \) nanocoulombs (nC).
- **Charge B:** Positioned at the center, has a negative charge of \( -1.0 \) nanocoulombs (nC).
- **Charge C:** Found on the right side, possesses a positive charge of \( +4.0 \) nanocoulombs (nC).

The distances between these charges are also specified:
- The distance between charges A and B is \( 1 \) centimeter (cm).
- Similarly, the distance between charges B and C is \( 1 \) centimeter (cm).

### Understanding the Diagram

1. **Positive and Negative Charges:**
    - **Charge A** (Red Circle, "+"): Indicates a positive charge of \( +1.0 \) nanocoulombs.
    - **Charge B** (Green Circle, "-"): Represents a negative charge of \( -1.0 \) nanocoulombs.
    - **Charge C** (Red Circle, "+"): Shows a positive charge of \( +4.0 \) nanocoulombs.

2. **Distances Between Charges:**
    - The distance between charge A and charge B is \( 1 \) cm.
    - The distance between charge B and charge C is also \( 1 \) cm.

### Interpretation and Application

This diagram can be used to understand the principles of electrostatic forces between charges. According to Coulomb's law, the electrostatic force between two charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them. Given the values and distances, one could calculate the forces experienced by each charge due to the other charges.
Transcribed Image Text:### Electrical Charges and Forces In this diagram, three point charges are arranged in a straight line. The charges are labeled A, B, and C, and their positions and magnitudes are as follows: - **Charge A:** Located on the left side, has a positive charge of \( +1.0 \) nanocoulombs (nC). - **Charge B:** Positioned at the center, has a negative charge of \( -1.0 \) nanocoulombs (nC). - **Charge C:** Found on the right side, possesses a positive charge of \( +4.0 \) nanocoulombs (nC). The distances between these charges are also specified: - The distance between charges A and B is \( 1 \) centimeter (cm). - Similarly, the distance between charges B and C is \( 1 \) centimeter (cm). ### Understanding the Diagram 1. **Positive and Negative Charges:** - **Charge A** (Red Circle, "+"): Indicates a positive charge of \( +1.0 \) nanocoulombs. - **Charge B** (Green Circle, "-"): Represents a negative charge of \( -1.0 \) nanocoulombs. - **Charge C** (Red Circle, "+"): Shows a positive charge of \( +4.0 \) nanocoulombs. 2. **Distances Between Charges:** - The distance between charge A and charge B is \( 1 \) cm. - The distance between charge B and charge C is also \( 1 \) cm. ### Interpretation and Application This diagram can be used to understand the principles of electrostatic forces between charges. According to Coulomb's law, the electrostatic force between two charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them. Given the values and distances, one could calculate the forces experienced by each charge due to the other charges.
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