---
title: "An ideal parallel-plate capacitor consists of two large, oppositely charged parallel conducting plates separated by a distance \\(d\\). In the region between the plates far from the edges, the electric field \\(E\\) is uniform. Which of the following best explains why the electric energy density \\(u_E\\) is also uniform throughout this region?"
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url: "https://nerd-notes.com/ubq/118182/"
date_modified: "2026-08-04T08:07:56+00:00"
---

# An ideal parallel-plate capacitor consists of two large, oppositely charged parallel conducting plates separated by a distance \(d\). In the region between the plates far from the edges, the electric field \(E\) is uniform. Which of the following best explains why the electric energy density \(u_E\) is also uniform throughout this region?

An ideal parallel-plate capacitor consists of two large, oppositely charged parallel conducting plates separated by a distance \(d\). In the region between the plates far from the edges, the electric field \(E\) is uniform. Which of the following best explains why the electric energy density \(u_E\) is also uniform throughout this region?

- **A.** Energy density varies linearly with position between the plates to compensate for the linear change in electric potential.
- **B.** Energy density is proportional to the net charge enclosed at each point in space, which is constant between the plates.
- **C.** Energy density depends solely on the local electric field magnitude according to \(u_E = \frac{1}{2}\varepsilon_0 E^2\), so a constant field implies a uniform energy density.
- **D.** Energy density is inversely proportional to the total volume between the plates, which is fixed for a given capacitor geometry.

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