---
title: "A rectangular conducting strip of width \\(w\\) lies in the \\(xy\\)-plane with its length parallel to the \\(x\\)-axis. A steady electric current \\(I\\) is directed in the \\(+x\\)-direction through the strip in the presence of a uniform magnetic field \\(\\vec{B}\\) directed in the \\(-z\\)-direction (into the page). A steady-state Hall potential difference is established across the strip such that the electric potential at the top edge (\\(y = +w/2\\)) is lower than the electric potential at the bottom edge (\\(y = -w/2\\)). Which of the following correctly identifies the sign of the mobile charge carriers and the direction of the internal Hall electric field \\(\\vec{E}\\)?"
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url: "https://nerd-notes.com/ubq/121243/"
date_modified: "2026-08-23T04:58:59+00:00"
---

# A rectangular conducting strip of width \(w\) lies in the \(xy\)-plane with its length parallel to the \(x\)-axis. A steady electric current \(I\) is directed in the \(+x\)-direction through the strip in the presence of a uniform magnetic field \(\vec{B}\) directed in the \(-z\)-direction (into the page). A steady-state Hall potential difference is established across the strip such that the electric potential at the top edge (\(y = +w/2\)) is lower than the electric potential at the bottom edge (\(y = -w/2\)). Which of the following correctly identifies the sign of the mobile charge carriers and the direction of the internal Hall electric field \(\vec{E}\)?

A rectangular conducting strip of width \(w\) lies in the \(xy\)-plane with its length parallel to the \(x\)-axis. A steady electric current \(I\) is directed in the \(+x\)-direction through the strip in the presence of a uniform magnetic field \(\vec{B}\) directed in the \(-z\)-direction (into the page). A steady-state Hall potential difference is established across the strip such that the electric potential at the top edge (\(y = +w/2\)) is lower than the electric potential at the bottom edge (\(y = -w/2\)). Which of the following correctly identifies the sign of the mobile charge carriers and the direction of the internal Hall electric field \(\vec{E}\)?

![A horizontal rectangular strip in the xy-plane with its long side parallel to the x-axis. A horizontal arrow labeled I points to the right through the center of the strip. Across the surface of the strip is a regular grid of cross symbols labeled \vec{B}, indicating a magnetic field into the page. The top edge is labeled y = +w/2 and the bottom edge is labeled y = -w/2. A coordinate system at the lower-left shows the +x axis pointing to the right and the +y axis pointing upward. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461139-RAJ1Pu.jpg)

- **A.** Sign: Positive; Direction: In the \(+y\)-direction
- **B.** Sign: Positive; Direction: In the \(-y\)-direction
- **C.** Sign: Negative; Direction: In the \(+y\)-direction
- **D.** Sign: Negative; Direction: In the \(-y\)-direction

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121243/*