---
title: "Two small particles, each carrying an identical positive charge \\(q\\), are held fixed on the \\(y\\)-axis at coordinates \\((0, d)\\) and \\((0, -d)\\), respectively. A point on the positive \\(x\\)-axis has coordinates \\((x, 0)\\). Which of the following expressions represents the position \\(x > 0\\) at which the magnitude of the net electric field attains its maximum value?"
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url: "https://nerd-notes.com/ubq/124692/"
date_modified: "2026-09-28T14:09:07+00:00"
---

# Two small particles, each carrying an identical positive charge \(q\), are held fixed on the \(y\)-axis at coordinates \((0, d)\) and \((0, -d)\), respectively. A point on the positive \(x\)-axis has coordinates \((x, 0)\). Which of the following expressions represents the position \(x > 0\) at which the magnitude of the net electric field attains its maximum value?

Two small particles, each carrying an identical positive charge \(q\), are held fixed on the \(y\)-axis at coordinates \((0, d)\) and \((0, -d)\), respectively. A point on the positive \(x\)-axis has coordinates \((x, 0)\). Which of the following expressions represents the position \(x > 0\) at which the magnitude of the net electric field attains its maximum value?

![A two-dimensional Cartesian coordinate system with a horizontal x-axis and a vertical y-axis intersecting at an origin labeled O. The axes are drawn as solid black lines with arrowheads at the positive ends, labeled x and y respectively. On the vertical axis, two solid black filled circular dots representing point charges are located symmetrically above and below the origin: one dot at coordinate (0, d) labeled +q, and one dot at coordinate (0, -d) labeled +q. The distance along the y-axis from the origin to the upper charge is marked with a label d, and the distance to the lower charge is marked with a label -d. On the positive horizontal axis, an open circle is marked at a general point labeled (x, 0). Dashed straight line segments connect each of the two point charges to the point (x, 0). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604547-6rxKNd.jpg)

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

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124692/*