---
title: "A small charged particle with mass \\(m = 1.0 \\times 10^{-4}\\text{ kg}\\) and charge \\(q = +2.0\\text{ }\\mu\\text{C}\\) enters horizontally with an initial speed \\(v_0 = 10\\text{ m/s}\\) midway between two parallel plates. The plates have length \\(L = 10\\text{ cm}\\) and are separated by a vertical distance \\(d = 5.0\\text{ cm}\\). A potential difference \\(\\Delta V = 500\\text{ V}\\) is maintained between the plates. Assuming gravitational effects are negligible, what is the vertical deflection of the particle as it exits the region between the plates?"
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url: "https://nerd-notes.com/ubq/121097/"
date_modified: "2026-08-23T04:57:50+00:00"
---

# A small charged particle with mass \(m = 1.0 \times 10^{-4}\text{ kg}\) and charge \(q = +2.0\text{ }\mu\text{C}\) enters horizontally with an initial speed \(v_0 = 10\text{ m/s}\) midway between two parallel plates. The plates have length \(L = 10\text{ cm}\) and are separated by a vertical distance \(d = 5.0\text{ cm}\). A potential difference \(\Delta V = 500\text{ V}\) is maintained between the plates. Assuming gravitational effects are negligible, what is the vertical deflection of the particle as it exits the region between the plates?

A small charged particle with mass \(m = 1.0 \times 10^{-4}\text{ kg}\) and charge \(q = +2.0\text{ }\mu\text{C}\) enters horizontally with an initial speed \(v_0 = 10\text{ m/s}\) midway between two parallel plates. The plates have length \(L = 10\text{ cm}\) and are separated by a vertical distance \(d = 5.0\text{ cm}\). A potential difference \(\Delta V = 500\text{ V}\) is maintained between the plates. Assuming gravitational effects are negligible, what is the vertical deflection of the particle as it exits the region between the plates?

![A side-view diagram of two horizontal parallel rectangular plates. The upper plate and lower plate both have horizontal length labeled \(L\) and are separated by a vertical spacing labeled \(d\). A small solid circle representing a charged particle labeled \(+q\) is located at the left opening, centered vertically between the two plates. A single horizontal arrow labeled \(v_0\) extends to the right from the particle, pointing into the region between the plates. A potential difference indicator connects the two plates, labeled \(\Delta V\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461070-dGHuzz.jpg)

- **A.** \(0.25\text{ cm}\)
- **B.** \(0.50\text{ cm}\)
- **C.** \(1.0\text{ cm}\)
- **D.** \(2.0\text{ cm}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121097/*