In the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q1 = -3.10 µC and q2 = 6.20 µC.)  ?????m   ---Select--- a) to the left of q1 b) to the right of q1

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In the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q1 = -3.10 µC and q2 = 6.20 µC.)
 ?????m  

---Select---

a) to the left of q1

b) to the right of q1

### Electrostatic Forces Between Point Charges

In the diagram above, two point charges are shown. Charge \( q_1 \) is represented by a blue sphere with a negative sign, indicating it is a negatively charged particle. Charge \( q_2 \) is represented by a red sphere with a positive sign, indicating it is a positively charged particle. The charges are positioned 1.00 meter apart as indicated by the double-headed arrow between them.

#### Key Components of the Diagram:
- **Charges**:
  - \( q_1 \): Negative charge (shown in blue).
  - \( q_2 \): Positive charge (shown in red).
- **Distance**: The separation between \( q_1 \) and \( q_2 \) is exactly 1.00 meter.
- **Force Representation**: The opposite signs of the charges indicate that these two charges will attract each other due to electrostatic forces. The force of attraction between the charges is a result of Coulomb’s Law.

This diagram can be used to study and calculate the forces between two point charges using Coulomb's Law, which is mathematically represented as:

\[ F = k_e \frac{|q_1 \cdot q_2|}{r^2} \]

where:
- \( F \) is the magnitude of the force between the charges,
- \( k_e \) (Coulomb's constant) is approximately \( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \),
- \( q_1 \) and \( q_2 \) are the amounts of the two charges,
- \( r \) is the distance between the centers of the two charges (1.00 meter in this case).

This representation is critical in understanding the basics of electrostatic force interactions in physics.
Transcribed Image Text:### Electrostatic Forces Between Point Charges In the diagram above, two point charges are shown. Charge \( q_1 \) is represented by a blue sphere with a negative sign, indicating it is a negatively charged particle. Charge \( q_2 \) is represented by a red sphere with a positive sign, indicating it is a positively charged particle. The charges are positioned 1.00 meter apart as indicated by the double-headed arrow between them. #### Key Components of the Diagram: - **Charges**: - \( q_1 \): Negative charge (shown in blue). - \( q_2 \): Positive charge (shown in red). - **Distance**: The separation between \( q_1 \) and \( q_2 \) is exactly 1.00 meter. - **Force Representation**: The opposite signs of the charges indicate that these two charges will attract each other due to electrostatic forces. The force of attraction between the charges is a result of Coulomb’s Law. This diagram can be used to study and calculate the forces between two point charges using Coulomb's Law, which is mathematically represented as: \[ F = k_e \frac{|q_1 \cdot q_2|}{r^2} \] where: - \( F \) is the magnitude of the force between the charges, - \( k_e \) (Coulomb's constant) is approximately \( 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \), - \( q_1 \) and \( q_2 \) are the amounts of the two charges, - \( r \) is the distance between the centers of the two charges (1.00 meter in this case). This representation is critical in understanding the basics of electrostatic force interactions in physics.
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