AP Physics C: E&M
13.4 Inductance
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?
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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