---
title: "An ideal inductor of inductance \\(L\\) operates under four distinct test conditions where the current \\(I\\) changes linearly with time during a given time interval:  Case 1: Current increases from \\(0\\text{ A}\\) to \\(4\\text{ A}\\) over \\(2\\text{ s}\\). Case 2: Current decreases from \\(6\\text{ A}\\) to \\(0\\text{ A}\\) over \\(1\\text{ s}\\). Case 3: Current remains constant at \\(8\\text{ A}\\) over \\(5\\text{ s}\\). Case 4: Current increases from \\(-2\\text{ A}\\) to \\(+2\\text{ A}\\) over \\(1\\text{ s}\\).  Which of the following correctly ranks the magnitude of the self-induced electromotive force \\(|\\mathcal{E}_L|\\) across the inductor for the four cases from greatest to least?"
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url: "https://nerd-notes.com/ubq/118638/"
date_modified: "2026-08-04T08:13:24+00:00"
---

# An ideal inductor of inductance \(L\) operates under four distinct test conditions where the current \(I\) changes linearly with time during a given time interval:

Case 1: Current increases from \(0\text{ A}\) to \(4\text{ A}\) over \(2\text{ s}\).
Case 2: Current decreases from \(6\text{ A}\) to \(0\text{ A}\) over \(1\text{ s}\).
Case 3: Current remains constant at \(8\text{ A}\) over \(5\text{ s}\).
Case 4: Current increases from \(-2\text{ A}\) to \(+2\text{ A}\) over \(1\text{ s}\).

Which of the following correctly ranks the magnitude of the self-induced electromotive force \(|\mathcal{E}_L|\) across the inductor for the four cases from greatest to least?

An ideal inductor of inductance \(L\) operates under four distinct test conditions where the current \(I\) changes linearly with time during a given time interval:

Case 1: Current increases from \(0\text{ A}\) to \(4\text{ A}\) over \(2\text{ s}\).
Case 2: Current decreases from \(6\text{ A}\) to \(0\text{ A}\) over \(1\text{ s}\).
Case 3: Current remains constant at \(8\text{ A}\) over \(5\text{ s}\).
Case 4: Current increases from \(-2\text{ A}\) to \(+2\text{ A}\) over \(1\text{ s}\).

Which of the following correctly ranks the magnitude of the self-induced electromotive force \(|\mathcal{E}_L|\) across the inductor for the four cases from greatest to least?

- **A.** \(|\mathcal{E}_2| > |\mathcal{E}_4| > |\mathcal{E}_1| > |\mathcal{E}_3|\)
- **B.** \(|\mathcal{E}_3| > |\mathcal{E}_2| > |\mathcal{E}_1| > |\mathcal{E}_4|\)
- **C.** \(|\mathcal{E}_2| > |\mathcal{E}_1| = |\mathcal{E}_4| > |\mathcal{E}_3|\)
- **D.** \(|\mathcal{E}_2| > |\mathcal{E}_1| > |\mathcal{E}_4| > |\mathcal{E}_3|\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118638/*