---
title: "Two irregularly shaped metallic conductors, 1 and 2, are connected by a thin conducting wire and given a net positive charge. The system is allowed to reach electrostatic equilibrium in isolated space. Four points in the system are designated as follows:  Point \\(P_1\\) is at a sharp, pointed tip on the surface of Conductor 1. Point \\(P_2\\) is on a broad, gently curved region on the surface of Conductor 1. Point \\(P_3\\) is on the surface of the connecting wire. Point \\(P_4\\) is inside the solid metallic interior of Conductor 2.  Which of the following correctly ranks the electric potential \\(V\\) at these four points?"
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url: "https://nerd-notes.com/ubq/118203/"
date_modified: "2026-08-04T08:08:08+00:00"
---

# Two irregularly shaped metallic conductors, 1 and 2, are connected by a thin conducting wire and given a net positive charge. The system is allowed to reach electrostatic equilibrium in isolated space. Four points in the system are designated as follows:

Point \(P_1\) is at a sharp, pointed tip on the surface of Conductor 1.
Point \(P_2\) is on a broad, gently curved region on the surface of Conductor 1.
Point \(P_3\) is on the surface of the connecting wire.
Point \(P_4\) is inside the solid metallic interior of Conductor 2.

Which of the following correctly ranks the electric potential \(V\) at these four points?

Two irregularly shaped metallic conductors, 1 and 2, are connected by a thin conducting wire and given a net positive charge. The system is allowed to reach electrostatic equilibrium in isolated space. Four points in the system are designated as follows:

Point \(P_1\) is at a sharp, pointed tip on the surface of Conductor 1.
Point \(P_2\) is on a broad, gently curved region on the surface of Conductor 1.
Point \(P_3\) is on the surface of the connecting wire.
Point \(P_4\) is inside the solid metallic interior of Conductor 2.

Which of the following correctly ranks the electric potential \(V\) at these four points?

![Two irregularly shaped, smooth conducting objects, Conductor 1 on the left and Conductor 2 on the right, connected by a thin horizontal wire. Conductor 1 has a pointed, narrow tip pointing toward the upper-left and a wide rounded base. Point P_1 is labeled on the outer surface at the sharp pointed tip of Conductor 1. Point P_2 is labeled on the outer surface on the broad rounded region of Conductor 1. Point P_3 is labeled on the outer surface of the connecting wire halfway between the conductors. Conductor 2 is an irregularly rounded object to the right. Point P_4 is labeled inside the solid shaded interior of Conductor 2. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830888-ixxjCK.jpg)

- **A.** \(V_{P_1} > V_{P_2} > V_{P_3} > V_{P_4}\)
- **B.** \(V_{P_1} > V_{P_2} = V_{P_3} = V_{P_4}\)
- **C.** \(V_{P_1} = V_{P_2} = V_{P_3} = V_{P_4}\)
- **D.** \(V_{P_1} = V_{P_2} = V_{P_3} > V_{P_4}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118203/*