---
title: "An infinite non-conducting slab parallel to the x y-plane has a uniform thickness 2 d, extending from z = -d to z = +d, and carries a uniform volume charge density \\(\\rho_0\\). Which of the following expressions gives the magnitude of the electric field \\(E(z)\\) inside the slab at a position \\(z\\), where \\(0 \\le z < d\\)?"
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url: "https://nerd-notes.com/ubq/117970/"
date_modified: "2026-08-04T08:02:44+00:00"
---

# An infinite non-conducting slab parallel to the x y-plane has a uniform thickness 2 d, extending from z = -d to z = +d, and carries a uniform volume charge density \(\rho_0\). Which of the following expressions gives the magnitude of the electric field \(E(z)\) inside the slab at a position \(z\), where \(0 \le z < d\)?

An infinite non-conducting slab parallel to the x y-plane has a uniform thickness 2 d, extending from z = -d to z = +d, and carries a uniform volume charge density \(\rho_0\). Which of the following expressions gives the magnitude of the electric field \(E(z)\) inside the slab at a position \(z\), where \(0 \le z < d\)?

![A three-dimensional schematic showing an infinite non-conducting slab centered on the xy-plane. The slab has a uniform thickness 2d along the z-axis, extending from z = -d to z = +d. A vertical z-axis line passes through the center of the slab, with tick marks at z = d, z = 0, and z = -d. Inside the slab, a shaded cylindrical Gaussian surface of cross-sectional area A and height 2z is centered at z = 0, extending symmetrically to +z and -z where z < d. Two vertical vectors pointing outward from the top and bottom circular end-caps of the cylinder are labeled \vec{E}. A label \rho_0 is placed inside the slab region. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830563-6cqwRU.jpg)

- **A.** \(E(z) = \dfrac{\rho_0 z}{2\varepsilon_0}\)
- **B.** \(E(z) = \dfrac{\rho_0 z}{\varepsilon_0}\)
- **C.** \(E(z) = \dfrac{2\rho_0 z}{\varepsilon_0}\)
- **D.** \(E(z) = \dfrac{\rho_0 d}{\varepsilon_0}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117970/*