---
title: "Two fixed point charges, \\(q_1 = +4Q\\) and \\(q_2 = -Q\\), are positioned on the x-axis at \\(x = 0\\) and \\(x = d\\), respectively, where \\(d > 0\\). The charges are isolated from all other external interactions, and electric potential is defined to be zero at an infinite distance from the charges. Which of the following correctly pairs the coordinate \\(x_0\\) on the x-axis where the net electric field is zero with the net electric potential \\(V_0\\) at that same coordinate?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/117084/"
date_modified: "2026-08-04T06:17:15+00:00"
---

# Two fixed point charges, \(q_1 = +4Q\) and \(q_2 = -Q\), are positioned on the x-axis at \(x = 0\) and \(x = d\), respectively, where \(d > 0\). The charges are isolated from all other external interactions, and electric potential is defined to be zero at an infinite distance from the charges. Which of the following correctly pairs the coordinate \(x_0\) on the x-axis where the net electric field is zero with the net electric potential \(V_0\) at that same coordinate?

Two fixed point charges, \(q_1 = +4Q\) and \(q_2 = -Q\), are positioned on the x-axis at \(x = 0\) and \(x = d\), respectively, where \(d > 0\). The charges are isolated from all other external interactions, and electric potential is defined to be zero at an infinite distance from the charges. Which of the following correctly pairs the coordinate \(x_0\) on the x-axis where the net electric field is zero with the net electric potential \(V_0\) at that same coordinate?

![A horizontal x-axis with two labeled tick marks at x = 0 and x = d. At x = 0, a large circle represents charge q_1 = +4Q containing plus signs. At x = d, a smaller circle represents charge q_2 = -Q containing minus signs. A dashed horizontal line extends along the x-axis to the right past x = d. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785824234-8uhcfA.jpg)

- **A.** \(x_0 = \dfrac{2}{3}d\) and \(V_0 = 0\)
- **B.** \(x_0 = \dfrac{4}{3}d\) and \(V_0 = 0\)
- **C.** \(x_0 = 2d\) and \(V_0 = \dfrac{kQ}{d}\)
- **D.** \(x_0 = 2d\) and \(V_0 = 0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117084/*