A 180 V battery is connected across two parallel metal plates of area 28.5 cm² and separation 9.20 mm. A beam of alpha particles (charge +2e, mass 6.64 x 10-27 kg) is accelerated from rest through a potential difference of 1.75 kV and enters the region between the plates perpendicular to the electric field, as shown in. Part A What magnitude of magnetic field is needed so that the alpha particles emerge undeflected from between the plates?

College Physics
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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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### Educational Content

**Context:**

A 180 V battery is connected across two parallel metal plates with an area of 28.5 cm² and a separation of 9.20 mm. A beam of alpha particles (charge +2e, mass \(6.64 \times 10^{-27}\) kg) is accelerated from rest through a potential difference of 1.75 kV. The particles enter the region between the plates perpendicular to the electric field, as illustrated in the accompanying diagram.

**Diagram Explanation:**

The diagram depicts a setup where parallel plates are powered by a battery. Alpha particles enter the space between the plates. The diagram shows:

- Two parallel plates, one connected to the positive terminal and the other to the negative terminal of a battery.
- The battery supplies a voltage of 180 V.
- The alpha particles enter the plates perpendicular to the electric field, which is vertical in the setup.
- The velocity vector of the alpha particles is shown as \(v\), pointing horizontally into the page between the plates.

**Problem Statement:**

**Part A:**  
Determine the magnitude of the magnetic field required so that the alpha particles emerge undeflected from between the plates. Express your answer with appropriate units.

\[ |B| = \text{Value} \, \text{Units} \]
Transcribed Image Text:### Educational Content **Context:** A 180 V battery is connected across two parallel metal plates with an area of 28.5 cm² and a separation of 9.20 mm. A beam of alpha particles (charge +2e, mass \(6.64 \times 10^{-27}\) kg) is accelerated from rest through a potential difference of 1.75 kV. The particles enter the region between the plates perpendicular to the electric field, as illustrated in the accompanying diagram. **Diagram Explanation:** The diagram depicts a setup where parallel plates are powered by a battery. Alpha particles enter the space between the plates. The diagram shows: - Two parallel plates, one connected to the positive terminal and the other to the negative terminal of a battery. - The battery supplies a voltage of 180 V. - The alpha particles enter the plates perpendicular to the electric field, which is vertical in the setup. - The velocity vector of the alpha particles is shown as \(v\), pointing horizontally into the page between the plates. **Problem Statement:** **Part A:** Determine the magnitude of the magnetic field required so that the alpha particles emerge undeflected from between the plates. Express your answer with appropriate units. \[ |B| = \text{Value} \, \text{Units} \]
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