---
title: "A solid conducting sphere of radius \\(R\\) carries a total positive charge distributed uniformly over its outer surface with surface charge density \\(\\sigma\\). Which of the following expressions gives the magnitude of the electric field just outside the surface of the sphere?"
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url: "https://nerd-notes.com/ubq/117910/"
date_modified: "2026-08-04T08:02:33+00:00"
---

# A solid conducting sphere of radius \(R\) carries a total positive charge distributed uniformly over its outer surface with surface charge density \(\sigma\). Which of the following expressions gives the magnitude of the electric field just outside the surface of the sphere?

A solid conducting sphere of radius \(R\) carries a total positive charge distributed uniformly over its outer surface with surface charge density \(\sigma\). Which of the following expressions gives the magnitude of the electric field just outside the surface of the sphere?

![A circle representing a solid conducting sphere of radius R centered at the origin. Small positive plus signs are spaced evenly along the outer boundary of the circle. A dashed concentric circle of radius r slightly greater than R represents a spherical surface just outside the sphere. An arrow labeled R extends from the center to the sphere surface. An arrow labeled E points radially outward from the outer surface. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830553-dhonb2.jpg)

- **A.** \(\dfrac{\sigma}{\varepsilon_0}\)
- **B.** \(\dfrac{\sigma}{2\varepsilon_0}\)
- **C.** \(\dfrac{\sigma}{4\pi\varepsilon_0}\)
- **D.** 0

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