---
title: "An inductor in a circuit has self-inductance \\(L\\) and carries an initial steady current \\(I_0\\), storing a total magnetic energy \\(U_0\\). If the current through the inductor is increased to \\(2I_0\\) while its physical dimensions remain unchanged, what is the new magnetic energy stored in the inductor?"
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url: "https://nerd-notes.com/ubq/118631/"
date_modified: "2026-08-04T08:13:16+00:00"
---

# An inductor in a circuit has self-inductance \(L\) and carries an initial steady current \(I_0\), storing a total magnetic energy \(U_0\). If the current through the inductor is increased to \(2I_0\) while its physical dimensions remain unchanged, what is the new magnetic energy stored in the inductor?

An inductor in a circuit has self-inductance \(L\) and carries an initial steady current \(I_0\), storing a total magnetic energy \(U_0\). If the current through the inductor is increased to \(2I_0\) while its physical dimensions remain unchanged, what is the new magnetic energy stored in the inductor?

- **A.** \(4 U_0\)
- **B.** \(2 U_0\)
- **C.** \(\sqrt{2} U_0\)
- **D.** \(\dfrac{1}{2} U_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118631/*