(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) Three charges lie along a horizontal line. A 6.00 µC positive charge is on the left. 3.00 cm to its right is a 1.50 µC positive charge. 2.00 cm to the right of the 1.50 µC charge is a −2.00 µC charge.  N/C (b) If a charge of −6.33 µC is placed at this point, what are the magnitude and direction of the force on it? magnitude      N direction

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(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.)

Three charges lie along a horizontal line. A 6.00 µC positive charge is on the left. 3.00 cm to its right is a 1.50 µC positive charge. 2.00 cm to the right of the 1.50 µC charge is a −2.00 µC charge.

 N/C

(b) If a charge of −6.33 µC is placed at this point, what are the magnitude and direction of the force on it?

magnitude      N
direction          

 

### Diagram: Configuration of Electric Charges

#### Description:

This diagram illustrates the linear arrangement of three point charges along a horizontal line. 

1. **Left Charge**:
   - Magnitude: \(6.00 \: \mu\text{C}\) (microcoulombs)
   - Type: Positive
   - Represented by: A red sphere with a positive sign (+)

2. **Middle Charge**:
   - Magnitude: \(1.50 \: \mu\text{C}\) (microcoulombs)
   - Type: Positive
   - Represented by: A smaller red sphere with a positive sign (+)
   - Distance to Left Charge: 3.00 cm

3. **Right Charge**:
   - Magnitude: \(-2.00 \: \mu\text{C}\) (microcoulombs)
   - Type: Negative
   - Represented by: A blue sphere with a negative sign (-) 
   - Distance to Middle Charge: 2.00 cm

Each charge is positioned along a straight horizontal line, clearly depicting both their spatial relationships and magnitudes. The distances between each pair of adjacent charges are indicated with arrows and labeled accordingly.

**Key Points to Note**:
- Positive charges repel each other while a positive and a negative charge attract each other.
- The distances between each charge are crucial for calculating the forces and potential energies within this system using Coulomb's Law. 

This diagram can be used to understand basic electrostatic principles and how they apply to systems of multiple discrete charges. It's also useful in solving problems related to electric forces, fields, and potential energy in physics.
Transcribed Image Text:### Diagram: Configuration of Electric Charges #### Description: This diagram illustrates the linear arrangement of three point charges along a horizontal line. 1. **Left Charge**: - Magnitude: \(6.00 \: \mu\text{C}\) (microcoulombs) - Type: Positive - Represented by: A red sphere with a positive sign (+) 2. **Middle Charge**: - Magnitude: \(1.50 \: \mu\text{C}\) (microcoulombs) - Type: Positive - Represented by: A smaller red sphere with a positive sign (+) - Distance to Left Charge: 3.00 cm 3. **Right Charge**: - Magnitude: \(-2.00 \: \mu\text{C}\) (microcoulombs) - Type: Negative - Represented by: A blue sphere with a negative sign (-) - Distance to Middle Charge: 2.00 cm Each charge is positioned along a straight horizontal line, clearly depicting both their spatial relationships and magnitudes. The distances between each pair of adjacent charges are indicated with arrows and labeled accordingly. **Key Points to Note**: - Positive charges repel each other while a positive and a negative charge attract each other. - The distances between each charge are crucial for calculating the forces and potential energies within this system using Coulomb's Law. This diagram can be used to understand basic electrostatic principles and how they apply to systems of multiple discrete charges. It's also useful in solving problems related to electric forces, fields, and potential energy in physics.
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