---
title: "Two cylindrical conductors, Conductor X and Conductor Y, are made of the same uniform metal alloy. Conductor X has length \\(L_0\\), radius \\(r_0\\), and an electrical resistance \\(R_0\\). Conductor Y has length \\(2L_0\\) and radius \\(2r_0\\). In terms of \\(R_0\\), what is the electrical resistance of Conductor Y?"
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url: "https://nerd-notes.com/ubq/120403/"
date_modified: "2026-08-23T04:34:29+00:00"
---

# Two cylindrical conductors, Conductor X and Conductor Y, are made of the same uniform metal alloy. Conductor X has length \(L_0\), radius \(r_0\), and an electrical resistance \(R_0\). Conductor Y has length \(2L_0\) and radius \(2r_0\). In terms of \(R_0\), what is the electrical resistance of Conductor Y?

Two cylindrical conductors, Conductor X and Conductor Y, are made of the same uniform metal alloy. Conductor X has length \(L_0\), radius \(r_0\), and an electrical resistance \(R_0\). Conductor Y has length \(2L_0\) and radius \(2r_0\). In terms of \(R_0\), what is the electrical resistance of Conductor Y?

![A schematic diagram showing two horizontal solid cylinders aligned parallel to each other. The upper cylinder, labeled Conductor X, has length labeled \(L_0\) with horizontal dimension arrows and circular cross-sectional radius labeled \(r_0\). The lower cylinder, labeled Conductor Y, is visibly twice as long and twice as thick as Conductor X, with length labeled \(2L_0\) with horizontal dimension arrows and cross-sectional radius labeled \(2r_0\). Both cylinders have identical light-gray fill. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459668-ZQZlpr.jpg)

- **A.** \(\dfrac{1}{8}R_0\)
- **B.** \(\dfrac{1}{4}R_0\)
- **C.** \(\dfrac{1}{2}R_0\)
- **D.** \(R_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120403/*