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title: "A single flat, stationary loop of wire is positioned in a uniform magnetic field oriented perpendicular to the plane of the loop. The magnetic flux \\(\\Phi_B\\) through the loop as a function of time \\(t\\) varies piecewise linearly, passing through the coordinates \\((0\\text{ s}, 0\\text{ Wb})\\), \\((2.0\\text{ s}, 4.0\\text{ Wb})\\), \\((4.0\\text{ s}, 4.0\\text{ Wb})\\), \\((5.0\\text{ s}, -4.0\\text{ Wb})\\), and \\((6.0\\text{ s}, 0\\text{ Wb})\\), as shown in the graph. What is the magnitude of the induced electromotive force (EMF) in the loop during the time interval from \\(t = 4.0\\text{ s}\\) to \\(t = 5.0\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/121333/"
date_modified: "2026-08-23T04:59:46+00:00"
---

# A single flat, stationary loop of wire is positioned in a uniform magnetic field oriented perpendicular to the plane of the loop. The magnetic flux \(\Phi_B\) through the loop as a function of time \(t\) varies piecewise linearly, passing through the coordinates \((0\text{ s}, 0\text{ Wb})\), \((2.0\text{ s}, 4.0\text{ Wb})\), \((4.0\text{ s}, 4.0\text{ Wb})\), \((5.0\text{ s}, -4.0\text{ Wb})\), and \((6.0\text{ s}, 0\text{ Wb})\), as shown in the graph. What is the magnitude of the induced electromotive force (EMF) in the loop during the time interval from \(t = 4.0\text{ s}\) to \(t = 5.0\text{ s}\)?

A single flat, stationary loop of wire is positioned in a uniform magnetic field oriented perpendicular to the plane of the loop. The magnetic flux \(\Phi_B\) through the loop as a function of time \(t\) varies piecewise linearly, passing through the coordinates \((0\text{ s}, 0\text{ Wb})\), \((2.0\text{ s}, 4.0\text{ Wb})\), \((4.0\text{ s}, 4.0\text{ Wb})\), \((5.0\text{ s}, -4.0\text{ Wb})\), and \((6.0\text{ s}, 0\text{ Wb})\), as shown in the graph. What is the magnitude of the induced electromotive force (EMF) in the loop during the time interval from \(t = 4.0\text{ s}\) to \(t = 5.0\text{ s}\)?

![A two-dimensional Cartesian graph with a horizontal axis labeled \(t\text{ (s)}\) and a vertical axis labeled \(\Phi_B\text{ (Wb)}\). Light gray gridlines are spaced at intervals of \(1.0\text{ s}\) along the horizontal axis and \(2.0\text{ Wb}\) along the vertical axis. The horizontal axis includes major tick marks with numeric labels at \(0\), \(1\), \(2\), \(3\), \(4\), \(5\), and \(6\). The vertical axis includes major tick marks with numeric labels at \(-4\), \(-2\), \(0\), \(2\), \(4\), and \(6\). A single thick solid line represents the magnetic flux, plotted through five connected linear segments with vertices at coordinates \((0,0)\), \((2,4)\), \((4,4)\), \((5,-4)\), and \((6,0)\). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461186-s0o5JD.jpg)

- **A.** \(1.6\text{ V}\)
- **B.** \(2.0\text{ V}\)
- **C.** \(4.0\text{ V}\)
- **D.** \(8.0\text{ V}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121333/*