Given two particles with Q = 2.30-µC charges as shown in the figure below and a particle with charge q = 1.24 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = c x = -0.800 m 0 x = 0.800 m Ⓡ (a) What is the net force (in N) exerted by the two 2.30-μC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.30-μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.30-μC particles? kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.30-μµC particles?

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Given two particles with Q = 2.30-µC charges as shown in the figure below and a particle with charge q = 1.24 ✕ 10−18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = ∞.)
Three positively charged particles lie along the x-axis of the x y coordinate plane.
  • Charge q is at the origin.
  • Charge Q is at (0.800 m, 0).
  • Another charge Q is at (−0.800 m, 0).
(a)
What is the net force (in N) exerted by the two 2.30-µC charges on the charge q? (Enter the magnitude.)
 N
(b)
What is the electric field (in N/C) at the origin due to the two 2.30-µC particles? (Enter the magnitude.)
 N/C
(c)
What is the electrical potential (in kV) at the origin due to the two 2.30-µC particles?
 kV
(d)
What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.30-µC particles?
**Given two particles with \( Q = 2.30 \, \mu \text{C} \) charges as shown in the figure below and a particle with charge \( q = 1.24 \times 10^{-18} \, \text{C} \) at the origin. (Note: Assume a reference level of potential \( V = 0 \) at \( r = \infty \).)**

![Diagram](https://i.imgur.com/WUZ7VS4.png)

- **Diagram Explanation:**
  - The diagram shows a horizontal line representing the x-axis.
  - Two positive charges \( Q \) are placed symmetrically on either side of the origin at positions \( x = -0.800 \, \text{m} \) and \( x = 0.800 \, \text{m} \).
  - A small charge \( q \) is located at the origin.

**Questions:**

(a) What is the net force (in N) exerted by the two \( 2.30 \, \mu \text{C} \) charges on the charge \( q \)? (Enter the magnitude.)
   - [Answer box]

(b) What is the electric field (in N/C) at the origin due to the two \( 2.30 \, \mu \text{C} \) particles? (Enter the magnitude.)
   - [Answer box]

(c) What is the electrical potential (in kV) at the origin due to the two \( 2.30 \, \mu \text{C} \) particles?
   - [Answer box]

(d) **What If?** What would be the change in electric potential energy (in J) of the system if the charge \( q \) were moved a distance \( d = 0.400 \, \text{m} \) closer to either of the \( 2.30 \, \mu \text{C} \) particles?
   - [Answer box]
Transcribed Image Text:**Given two particles with \( Q = 2.30 \, \mu \text{C} \) charges as shown in the figure below and a particle with charge \( q = 1.24 \times 10^{-18} \, \text{C} \) at the origin. (Note: Assume a reference level of potential \( V = 0 \) at \( r = \infty \).)** ![Diagram](https://i.imgur.com/WUZ7VS4.png) - **Diagram Explanation:** - The diagram shows a horizontal line representing the x-axis. - Two positive charges \( Q \) are placed symmetrically on either side of the origin at positions \( x = -0.800 \, \text{m} \) and \( x = 0.800 \, \text{m} \). - A small charge \( q \) is located at the origin. **Questions:** (a) What is the net force (in N) exerted by the two \( 2.30 \, \mu \text{C} \) charges on the charge \( q \)? (Enter the magnitude.) - [Answer box] (b) What is the electric field (in N/C) at the origin due to the two \( 2.30 \, \mu \text{C} \) particles? (Enter the magnitude.) - [Answer box] (c) What is the electrical potential (in kV) at the origin due to the two \( 2.30 \, \mu \text{C} \) particles? - [Answer box] (d) **What If?** What would be the change in electric potential energy (in J) of the system if the charge \( q \) were moved a distance \( d = 0.400 \, \text{m} \) closer to either of the \( 2.30 \, \mu \text{C} \) particles? - [Answer box]
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