---
title: "A circuit consists of an ideal battery of emf \\(\\mathcal{E}\\), an open switch \\(S\\), an ideal inductor of inductance \\(L\\), and a resistor of resistance \\(R\\) connected in series. At time \\(t = 0\\), the switch \\(S\\) is closed. Which of the following graphs best represents the magnitude of the potential difference across the inductor, \\(\\Delta V_L\\), as a function of time \\(t\\) for \\(t \\ge 0\\)?"
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url: "https://nerd-notes.com/ubq/121356/"
date_modified: "2026-08-23T04:59:55+00:00"
---

# A circuit consists of an ideal battery of emf \(\mathcal{E}\), an open switch \(S\), an ideal inductor of inductance \(L\), and a resistor of resistance \(R\) connected in series. At time \(t = 0\), the switch \(S\) is closed. Which of the following graphs best represents the magnitude of the potential difference across the inductor, \(\Delta V_L\), as a function of time \(t\) for \(t \ge 0\)?

A circuit consists of an ideal battery of emf \(\mathcal{E}\), an open switch \(S\), an ideal inductor of inductance \(L\), and a resistor of resistance \(R\) connected in series. At time \(t = 0\), the switch \(S\) is closed. Which of the following graphs best represents the magnitude of the potential difference across the inductor, \(\Delta V_L\), as a function of time \(t\) for \(t \ge 0\)?

![A rectangular circuit schematic. The left vertical branch contains an ideal DC voltage source labeled \(\mathcal{E}\), with the longer plate at the top. The top horizontal branch contains an open switch labeled \(S\). The right vertical branch contains a resistor depicted as a zig-zag symbol labeled \(R\). The bottom horizontal branch contains an inductor depicted as a sequence of curved loops labeled \(L\). Connecting lines complete the rectangular loop. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461194-ew2j95.jpg)

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121356/*