Given two particles with Q = 1.90-µC charges as shown in the figure below and a particle with charge q = 1.36 × 10-18 C at the origin. (Note: Assume a reference level of potential V = = 0o.) x = -0.800 m x = 0.800 m (a) What is the net force (in N) exerted by the two 1.90-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 1.90-µC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 1.90-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 1.90-µC particles?

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### Problem Background and Diagram

Given two particles with \( Q = 1.90\ \mu\mathrm{C} \) charges as shown in the figure below and a particle with charge \( q = 1.36 \times 10^{-18}\ \mathrm{C} \) at the origin. (Note: Assume a reference level of potential \( V = 0 \) at \( r = \infty \).)

#### Diagram:
```
          y
          |
          |
Q (+) -- x = -0.800 m -- q 0 -- x = 0 -- Q (+)
          |
          |
```

### Questions:

**(a)** What is the net force (in N) exerted by the two \( 1.90\ \mu\mathrm{C} \) charges on the charge \( q \)? (Enter the magnitude.)

\[ \boxed{\text{N}} \]

**(b)** What is the electric field (in N/C) at the origin due to the two \( 1.90\ \mu\mathrm{C} \) particles? (Enter the magnitude.)

\[ \boxed{\text{N/C}} \]

**(c)** What is the electrical potential (in kV) at the origin due to the two \( 1.90\ \mu\mathrm{C} \) particles?

\[ \boxed{\text{kV}} \]

**(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 \( d = 0.400\ \text{m} \) closer to either of the \( 1.90\ \mu\mathrm{C} \) particles?

\[ \boxed{\text{J}} \]
Transcribed Image Text:### Problem Background and Diagram Given two particles with \( Q = 1.90\ \mu\mathrm{C} \) charges as shown in the figure below and a particle with charge \( q = 1.36 \times 10^{-18}\ \mathrm{C} \) at the origin. (Note: Assume a reference level of potential \( V = 0 \) at \( r = \infty \).) #### Diagram: ``` y | | Q (+) -- x = -0.800 m -- q 0 -- x = 0 -- Q (+) | | ``` ### Questions: **(a)** What is the net force (in N) exerted by the two \( 1.90\ \mu\mathrm{C} \) charges on the charge \( q \)? (Enter the magnitude.) \[ \boxed{\text{N}} \] **(b)** What is the electric field (in N/C) at the origin due to the two \( 1.90\ \mu\mathrm{C} \) particles? (Enter the magnitude.) \[ \boxed{\text{N/C}} \] **(c)** What is the electrical potential (in kV) at the origin due to the two \( 1.90\ \mu\mathrm{C} \) particles? \[ \boxed{\text{kV}} \] **(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 \( d = 0.400\ \text{m} \) closer to either of the \( 1.90\ \mu\mathrm{C} \) particles? \[ \boxed{\text{J}} \]
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