---
title: "A cylindrical capacitor of length \\(L = 1.0\\text{ m}\\) consists of two coaxial cylindrical conducting shells of inner radius \\(R_1 = 2.0\\text{ cm}\\) and outer radius \\(R_2 = 8.0\\text{ cm}\\). The electric field magnitude \\(E\\) in the region between the conductors is measured as a function of radial distance \\(r\\), and a graph of \\(E\\) versus \\(1/r\\) is plotted below.  Based on the graph, what is the total electrostatic energy stored in the electric field of the capacitor?"
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date_modified: "2026-08-23T04:58:23+00:00"
---

# A cylindrical capacitor of length \(L = 1.0\text{ m}\) consists of two coaxial cylindrical conducting shells of inner radius \(R_1 = 2.0\text{ cm}\) and outer radius \(R_2 = 8.0\text{ cm}\). The electric field magnitude \(E\) in the region between the conductors is measured as a function of radial distance \(r\), and a graph of \(E\) versus \(1/r\) is plotted below.

Based on the graph, what is the total electrostatic energy stored in the electric field of the capacitor?

A cylindrical capacitor of length \(L = 1.0\text{ m}\) consists of two coaxial cylindrical conducting shells of inner radius \(R_1 = 2.0\text{ cm}\) and outer radius \(R_2 = 8.0\text{ cm}\). The electric field magnitude \(E\) in the region between the conductors is measured as a function of radial distance \(r\), and a graph of \(E\) versus \(1/r\) is plotted below.

Based on the graph, what is the total electrostatic energy stored in the electric field of the capacitor?

![A 2D quantitative line graph with a light gray Cartesian grid. The horizontal axis is labeled 1/r (m^{-1}) with major tick marks and numerical labels at 0, 10, 20, 30, 40, 50. The vertical axis is labeled E (10^5 V/m) with major tick marks and numerical labels at 0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0. A solid black straight line begins at the origin (0, 0) and extends with a constant positive slope up and to the right, passing through (25, 1.5) and terminating at a prominent solid circular data point at (50, 3.0). A second prominent solid circular data point is marked at (25, 1.5). No other curves, lines, or labels appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1787461102-R6U6Ww.jpg)

- **A.** \(6.9 \times 10^{-4}\text{ J}\)
- **B.** \(1.4 \times 10^{-3}\text{ J}\)
- **C.** \(2.8 \times 10^{-3}\text{ J}\)
- **D.** \(5.6 \times 10^{-3}\text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121171/*