A proton, that is accelerated from rest through a potential of 60 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. What is the proton's speed? Take m, = 1.67 x 10-7 kg and e = 1.6 x 10-19 c. B The speed, v = Units Select an answer The E-field between the plates is 1.3 x 10° N/C. What B-field is required so that the protons are not deflected? The magnetic field, B = Units Select an answer

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Text Transcription for Educational Website:**

A proton, that is accelerated from rest through a potential of 60 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. What is the proton’s speed? Take \( m_p = 1.67 \times 10^{-27} \, \text{kg} \) and \( e = 1.6 \times 10^{-19} \, \text{C} \).

**Diagram Explanation:**

The diagram displays a velocity filter with a proton (P) entering from the left. The filter includes:

- **Parallel-Plate Capacitor:** Two horizontal lines representing the plates. An electric field (E) between them is indicated by downward-pointing vertical arrows labeled 'E'.

- **Magnetic Field (B):** Depicted by crosses (×) suggesting the field is directed into the page.

**Problem Details:**

The speed, \( v = \) [Select an answer]

The E-field between the plates is \( 1.3 \times 10^6 \, \text{N/C} \). What B-field is required so that the protons are not deflected?

The magnetic field, \( B = \) [Select an answer].

**Instructions:**

- Calculate the speed of the proton after acceleration.
- Determine the magnetic field (B) necessary to prevent proton deflection in the presence of the given electric field.
Transcribed Image Text:**Text Transcription for Educational Website:** A proton, that is accelerated from rest through a potential of 60 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. What is the proton’s speed? Take \( m_p = 1.67 \times 10^{-27} \, \text{kg} \) and \( e = 1.6 \times 10^{-19} \, \text{C} \). **Diagram Explanation:** The diagram displays a velocity filter with a proton (P) entering from the left. The filter includes: - **Parallel-Plate Capacitor:** Two horizontal lines representing the plates. An electric field (E) between them is indicated by downward-pointing vertical arrows labeled 'E'. - **Magnetic Field (B):** Depicted by crosses (×) suggesting the field is directed into the page. **Problem Details:** The speed, \( v = \) [Select an answer] The E-field between the plates is \( 1.3 \times 10^6 \, \text{N/C} \). What B-field is required so that the protons are not deflected? The magnetic field, \( B = \) [Select an answer]. **Instructions:** - Calculate the speed of the proton after acceleration. - Determine the magnetic field (B) necessary to prevent proton deflection in the presence of the given electric field.
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