---
title: "A point charge \\(+q\\) is fixed at the origin \\(x = 0\\), and a second point charge \\(-Q\\) (where \\(Q > q > 0\\)) is fixed at \\(x = d\\) on the x-axis. Which of the following expressions represents the position \\(x\\) on the x-axis at which the net electric field created by the two charges is equal to zero?"
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url: "https://nerd-notes.com/ubq/117357/"
date_modified: "2026-08-04T06:51:57+00:00"
---

# A point charge \(+q\) is fixed at the origin \(x = 0\), and a second point charge \(-Q\) (where \(Q > q > 0\)) is fixed at \(x = d\) on the x-axis. Which of the following expressions represents the position \(x\) on the x-axis at which the net electric field created by the two charges is equal to zero?

A point charge \(+q\) is fixed at the origin \(x = 0\), and a second point charge \(-Q\) (where \(Q > q > 0\)) is fixed at \(x = d\) on the x-axis. Which of the following expressions represents the position \(x\) on the x-axis at which the net electric field created by the two charges is equal to zero?

![A horizontal axis labeled x extends from left to right. A small filled circle representing a positive point charge sits at position x = 0, labeled +q. To the right, at position x = d, a second small filled circle represents a negative point charge, labeled -Q. Tick marks on the axis indicate the positions x = 0 and x = d. A dashed horizontal line extends along the x-axis to the left of x = 0 into the region x < 0. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826316-rFam4d.jpg)

- **A.** \( x = -\dfrac{d \sqrt{q}}{\sqrt{Q} - \sqrt{q}} \)
- **B.** \( x = \dfrac{d \sqrt{q}}{\sqrt{Q} + \sqrt{q}} \)
- **C.** \( x = \dfrac{d \sqrt{q}}{\sqrt{Q} - \sqrt{q}} \)
- **D.** \( x = -\dfrac{d q}{Q - q} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117357/*