---
title: "Three direct-current circuits, labeled Circuit X, Circuit Y, and Circuit Z, each consist of an ideal inductor and a resistor connected in series. The parameters of each circuit are shown in the table.  | Circuit | Inductance | Resistance | |—|—|—| | Circuit X | \\(L\\) | \\(R\\) | | Circuit Y | \\(2L\\) | \\(R\\) | | Circuit Z | \\(2L\\) | \\(2R\\) |  Which of the following correctly ranks the inductive time constants \\(\\tau_X\\), \\(\\tau_Y\\), and \\(\\tau_Z\\) of the three circuits?"
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url: "https://nerd-notes.com/ubq/118633/"
date_modified: "2026-08-04T08:13:22+00:00"
---

# Three direct-current circuits, labeled Circuit X, Circuit Y, and Circuit Z, each consist of an ideal inductor and a resistor connected in series. The parameters of each circuit are shown in the table.

| Circuit | Inductance | Resistance |
|—|—|—|
| Circuit X | \(L\) | \(R\) |
| Circuit Y | \(2L\) | \(R\) |
| Circuit Z | \(2L\) | \(2R\) |

Which of the following correctly ranks the inductive time constants \(\tau_X\), \(\tau_Y\), and \(\tau_Z\) of the three circuits?

Three direct-current circuits, labeled Circuit X, Circuit Y, and Circuit Z, each consist of an ideal inductor and a resistor connected in series. The parameters of each circuit are shown in the table.

| Circuit | Inductance | Resistance |
|---|---|---|
| Circuit X | \(L\) | \(R\) |
| Circuit Y | \(2L\) | \(R\) |
| Circuit Z | \(2L\) | \(2R\) |

Which of the following correctly ranks the inductive time constants \(\tau_X\), \(\tau_Y\), and \(\tau_Z\) of the three circuits?

- **A.** \(\tau_Y > \tau_X = \tau_Z\)
- **B.** \(\tau_Z > \tau_Y > \tau_X\)
- **C.** \(\tau_X = \tau_Z > \tau_Y\)
- **D.** \(\tau_X > \tau_Y > \tau_Z\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118633/*