A proton enters the uniform electric field produced by the two charged square plates shown below. The plates carry charges +Q and-Q, where the magnitude Q=1.3 μC. The speed of the proton when it enters the region between the plates is 0.5 x 107 m/s. 12.0 cm- Hint a. What is the magnitude of electric field in the region? Assume that the plates are close enough together to be treated as "infinite" planes for electric field between them. + E= N/C. b. What distance d has the proton been deflected downward when it leaves the region between the two plates? Assume that the electrostatic force is the only force on the charge. d= cm.

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## Understanding Electric Fields with Parallel Plates

### Problem Description

A proton enters the uniform electric field produced by two charged square plates. The plates carry charges \( +Q \) and \( -Q \), where the magnitude \( Q = 1.3 \, \mu C \). The speed of the proton when it enters the region between the plates is \( 0.5 \times 10^7 \, \text{m/s} \).

#### Diagram Details:
- The separation between the plates is shown as 12.0 cm.
- The electric field is depicted with arrows pointing from the positive plate to the negative plate, indicating the direction of the field.
- The proton enters from the left and is deflected downward as it passes through the field.

### Questions

**a. Calculate the Magnitude of the Electric Field**

Assume that the plates are close enough to be treated as "infinite" for the purposes of calculating the electric field. Use the formula to determine the electric field \( E \) between the plates.

\[ E = \, \_\_\_\_ \, \text{N/C}. \]

**b. Calculate the Deflection of the Proton**

Determine the distance \( d \) that the proton has been deflected downward when it exits the region between the plates. Consider only the influence of the electrostatic force.

\[ d = \, \_\_\_\_ \, \text{cm}. \]

### Guidance

To solve these problems, use the known physical principles and formulas related to electric fields and forces on charges. 

For help or to check your understanding, feel free to **Message Instructor** or explore the **Course Chat**.

**Submit your Answers** when you are ready.
Transcribed Image Text:## Understanding Electric Fields with Parallel Plates ### Problem Description A proton enters the uniform electric field produced by two charged square plates. The plates carry charges \( +Q \) and \( -Q \), where the magnitude \( Q = 1.3 \, \mu C \). The speed of the proton when it enters the region between the plates is \( 0.5 \times 10^7 \, \text{m/s} \). #### Diagram Details: - The separation between the plates is shown as 12.0 cm. - The electric field is depicted with arrows pointing from the positive plate to the negative plate, indicating the direction of the field. - The proton enters from the left and is deflected downward as it passes through the field. ### Questions **a. Calculate the Magnitude of the Electric Field** Assume that the plates are close enough to be treated as "infinite" for the purposes of calculating the electric field. Use the formula to determine the electric field \( E \) between the plates. \[ E = \, \_\_\_\_ \, \text{N/C}. \] **b. Calculate the Deflection of the Proton** Determine the distance \( d \) that the proton has been deflected downward when it exits the region between the plates. Consider only the influence of the electrostatic force. \[ d = \, \_\_\_\_ \, \text{cm}. \] ### Guidance To solve these problems, use the known physical principles and formulas related to electric fields and forces on charges. For help or to check your understanding, feel free to **Message Instructor** or explore the **Course Chat**. **Submit your Answers** when you are ready.
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