Problem A3: The two parallel plates in the figure below are 2.0 cm apart and the electric field strength between them is 1.0 x 10ª N/C. An electron is launched at a 45 ° angle from the positive plate. What is the maximum initial speed vothe electron can have without hitting the negative plate? 2.0 cm 45° +++++++++++

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Chapter1: Units, Trigonometry. And Vectors
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**Write-up Criteria**

1. Be neat and organized.
2. Include a drawing of the charge distribution and the point at which the E-field is being evaluated.
3. Include a sample vector diagram, showing the electric-field vectors for critical dq’s.
4. Use the diagrams to help explain any cancellations due to symmetry.
5. Set up the integrals to determine the non-zero electric-field components. Show your work/reasoning for constructing the integrals.
6. Solve the integrals. Box or underline your final solutions.
7. Assess: is your result reasonable? Do the solutions have the correct behavior far away from the charge?

**Problem A3:**

The two parallel plates in the figure below are 2.0 cm apart and the electric field strength between them is \(1.0 \times 10^4 \, \text{N/C}\). An electron is launched at a 45° angle from the positive plate. What is the maximum initial speed \(v_0\) the electron can have without hitting the negative plate?

**Diagram Explanation:**

In the diagram, two parallel plates are shown with a separation of 2.0 cm. The positive plate is at the bottom, denoted by red crosses, and the negative plate is at the top, shown with blue lines. An electron is launched from the positive plate at a 45° angle. The initial velocity vector \(v_0\) is represented by an arrow angled at 45° relative to the plates.
Transcribed Image Text:**Write-up Criteria** 1. Be neat and organized. 2. Include a drawing of the charge distribution and the point at which the E-field is being evaluated. 3. Include a sample vector diagram, showing the electric-field vectors for critical dq’s. 4. Use the diagrams to help explain any cancellations due to symmetry. 5. Set up the integrals to determine the non-zero electric-field components. Show your work/reasoning for constructing the integrals. 6. Solve the integrals. Box or underline your final solutions. 7. Assess: is your result reasonable? Do the solutions have the correct behavior far away from the charge? **Problem A3:** The two parallel plates in the figure below are 2.0 cm apart and the electric field strength between them is \(1.0 \times 10^4 \, \text{N/C}\). An electron is launched at a 45° angle from the positive plate. What is the maximum initial speed \(v_0\) the electron can have without hitting the negative plate? **Diagram Explanation:** In the diagram, two parallel plates are shown with a separation of 2.0 cm. The positive plate is at the bottom, denoted by red crosses, and the negative plate is at the top, shown with blue lines. An electron is launched from the positive plate at a 45° angle. The initial velocity vector \(v_0\) is represented by an arrow angled at 45° relative to the plates.
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