---
title: "A flat coil consisting of \\(80\\) turns of wire has a cross-sectional area of \\(5.0 \\times 10^{-3} \\text{ m}^2\\) and a total electrical resistance of \\(2.0 \\text{ }\\Omega\\). The coil is initially placed in a uniform magnetic field of magnitude \\(0.30 \\text{ T}\\) such that the plane of the coil is perpendicular to the magnetic field lines. The coil is then flipped by \\(180^\\circ\\) about an axis lying in its plane over a time interval of \\(0.040 \\text{ s}\\). What is the total electric charge that flows through any cross section of the coil wire during this rotation?"
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url: "https://nerd-notes.com/ubq/121321/"
date_modified: "2026-08-23T04:59:41+00:00"
---

# A flat coil consisting of \(80\) turns of wire has a cross-sectional area of \(5.0 \times 10^{-3} \text{ m}^2\) and a total electrical resistance of \(2.0 \text{ }\Omega\). The coil is initially placed in a uniform magnetic field of magnitude \(0.30 \text{ T}\) such that the plane of the coil is perpendicular to the magnetic field lines. The coil is then flipped by \(180^\circ\) about an axis lying in its plane over a time interval of \(0.040 \text{ s}\). What is the total electric charge that flows through any cross section of the coil wire during this rotation?

A flat coil consisting of \(80\) turns of wire has a cross-sectional area of \(5.0 \times 10^{-3} \text{ m}^2\) and a total electrical resistance of \(2.0 \text{ }\Omega\). The coil is initially placed in a uniform magnetic field of magnitude \(0.30 \text{ T}\) such that the plane of the coil is perpendicular to the magnetic field lines. The coil is then flipped by \(180^\circ\) about an axis lying in its plane over a time interval of \(0.040 \text{ s}\). What is the total electric charge that flows through any cross section of the coil wire during this rotation?

![A flat circular loop representing a multi-turn coil is drawn vertically. A vertical dashed line passes centrally through the top and bottom of the loop to indicate the axis of rotation. A curved circular arrow at the top of the dashed axis indicates rotation about this line. Five horizontal arrows pointing to the right pass perpendicularly through the face of the loop to represent a uniform magnetic field, with the central arrow labeled \(\vec{B}\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461181-jzgU8A.jpg)

- **A.** \(0.0030 \text{ C}\)
- **B.** \(0.030 \text{ C}\)
- **C.** \(0.060 \text{ C}\)
- **D.** \(0.12 \text{ C}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121321/*