---
title: "An isolated, solid pear-shaped conducting object in electrostatic equilibrium carries a net positive charge \\( +Q \\).  Points 1, 2, and 3 are located on the outer surface of the conductor where the local radii of curvature are \\( R_1 \\), \\( R_2 \\), and \\( R_3 \\), respectively, such that \\( R_1 < R_2 < R_3 \\).  Which of the following correctly ranks the magnitudes of the electric field \\( E_1 \\), \\( E_2 \\), and \\( E_3 \\) immediately outside the surface of the conductor at points 1, 2, and 3?"
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url: "https://nerd-notes.com/ubq/121112/"
date_modified: "2026-08-23T04:58:06+00:00"
---

# An isolated, solid pear-shaped conducting object in electrostatic equilibrium carries a net positive charge \( +Q \).

Points 1, 2, and 3 are located on the outer surface of the conductor where the local radii of curvature are \( R_1 \), \( R_2 \), and \( R_3 \), respectively, such that \( R_1 < R_2 < R_3 \).

Which of the following correctly ranks the magnitudes of the electric field \( E_1 \), \( E_2 \), and \( E_3 \) immediately outside the surface of the conductor at points 1, 2, and 3?

An isolated, solid pear-shaped conducting object in electrostatic equilibrium carries a net positive charge \( +Q \).

Points 1, 2, and 3 are located on the outer surface of the conductor where the local radii of curvature are \( R_1 \), \( R_2 \), and \( R_3 \), respectively, such that \( R_1 < R_2 < R_3 \).

Which of the following correctly ranks the magnitudes of the electric field \( E_1 \), \( E_2 \), and \( E_3 \) immediately outside the surface of the conductor at points 1, 2, and 3?

![A single closed pear-shaped contour representing a solid conductor, with a narrow rounded tip at the top and a wider rounded base at the bottom. Point 1 is marked with a filled circle on the sharpest curve at the top apex. Point 2 is marked with a filled circle along the curved midsection on the right side. Point 3 is marked with a filled circle on the broad, flatly curved bottom base. A label +Q is positioned inside the conductor. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461086-sfP52U.jpg)

- **A.** \( E_1 = E_2 = E_3 \)
- **B.** \( E_3 > E_2 > E_1 \)
- **C.** \( E_2 > E_1 > E_3 \)
- **D.** \( E_1 > E_2 > E_3 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121112/*