---
title: "A point charge \\(+q\\) is fixed at the origin \\(x = 0\\), and a second point charge \\(-2q\\) is fixed at \\(x = d\\) along the \\(x\\)-axis. Electric potential is defined to be zero at an infinite distance from the charges. At what position on the \\(x\\)-axis between the two charges is the net electric potential equal to zero, and what is the status of the net electric field at that same position?"
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url: "https://nerd-notes.com/ubq/118093/"
date_modified: "2026-08-04T08:05:04+00:00"
---

# A point charge \(+q\) is fixed at the origin \(x = 0\), and a second point charge \(-2q\) is fixed at \(x = d\) along the \(x\)-axis. Electric potential is defined to be zero at an infinite distance from the charges. At what position on the \(x\)-axis between the two charges is the net electric potential equal to zero, and what is the status of the net electric field at that same position?

A point charge \(+q\) is fixed at the origin \(x = 0\), and a second point charge \(-2q\) is fixed at \(x = d\) along the \(x\)-axis. Electric potential is defined to be zero at an infinite distance from the charges. At what position on the \(x\)-axis between the two charges is the net electric potential equal to zero, and what is the status of the net electric field at that same position?

![A horizontal x-axis extending from left to right. At x = 0, a small circle labeled +q sits on the axis. At x = d, a small circle labeled -2q sits on the axis. A dashed vertical line marks a point P on the axis between the two charges. A horizontal dimension arrow below the axis between x = 0 and x = d is labeled d. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830703-1zgQu7.jpg)

- **A.** \(x = \dfrac{d}{4}\), and the net electric field is zero
- **B.** \(x = \dfrac{d}{3}\), and the net electric field is zero
- **C.** \(x = \dfrac{d}{3}\), and the net electric field is nonzero
- **D.** \(x = \dfrac{2d}{3}\), and the net electric field is nonzero

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118093/*