---
title: "Three point charges are fixed in the xy-plane: a charge \\(+2q\\) is located at the origin \\((0,0)\\), a charge \\(-q\\) is located at \\((a,0)\\), and a charge \\(-q\\) is located at \\((0,a)\\), where \\(q > 0\\) and \\(a > 0\\). What is the magnitude of the net electric dipole moment of this system of charges?"
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url: "https://nerd-notes.com/ubq/117927/"
date_modified: "2026-08-04T08:02:36+00:00"
---

# Three point charges are fixed in the xy-plane: a charge \(+2q\) is located at the origin \((0,0)\), a charge \(-q\) is located at \((a,0)\), and a charge \(-q\) is located at \((0,a)\), where \(q > 0\) and \(a > 0\). What is the magnitude of the net electric dipole moment of this system of charges?

Three point charges are fixed in the xy-plane: a charge \(+2q\) is located at the origin \((0,0)\), a charge \(-q\) is located at \((a,0)\), and a charge \(-q\) is located at \((0,a)\), where \(q > 0\) and \(a > 0\). What is the magnitude of the net electric dipole moment of this system of charges?

![A Cartesian coordinate plane showing the xy-axes. At the origin (0,0), there is a filled black circle labeled +2q. Along the positive x-axis at position (a,0), there is an open circle labeled -q. Along the positive y-axis at position (0,a), there is an open circle labeled -q. Dashed lines connect the origin to (a,0) with a dimension line labeled a, and from the origin to (0,a) with a dimension line labeled a. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830556-h6s6bg.jpg)

- **A.** \(qa\)
- **B.** \(\dfrac{\sqrt{2}}{2}qa\)
- **C.** \(2qa\)
- **D.** \(\sqrt{2}qa\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117927/*