---
title: "A cylindrical conducting wire of uniform cross section has length \\(L_0\\), resistance \\(R_0\\), and carries a current \\(I_0\\) when connected to an ideal battery of potential difference \\(V_0\\). The wire is uniformly drawn out such that its length increases to \\(3L_0\\) while its volume and resistivity remain constant. If the drawn-out wire is connected across the same potential difference \\(V_0\\), what is the new current in the wire?"
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url: "https://nerd-notes.com/ubq/121536/"
date_modified: "2026-08-23T05:23:47+00:00"
---

# A cylindrical conducting wire of uniform cross section has length \(L_0\), resistance \(R_0\), and carries a current \(I_0\) when connected to an ideal battery of potential difference \(V_0\). The wire is uniformly drawn out such that its length increases to \(3L_0\) while its volume and resistivity remain constant. If the drawn-out wire is connected across the same potential difference \(V_0\), what is the new current in the wire?

A cylindrical conducting wire of uniform cross section has length \(L_0\), resistance \(R_0\), and carries a current \(I_0\) when connected to an ideal battery of potential difference \(V_0\). The wire is uniformly drawn out such that its length increases to \(3L_0\) while its volume and resistivity remain constant. If the drawn-out wire is connected across the same potential difference \(V_0\), what is the new current in the wire?

- **A.** \(\dfrac{1}{27} I_0\)
- **B.** \(\dfrac{1}{9} I_0\)
- **C.** \(\dfrac{1}{3} I_0\)
- **D.** \(3 I_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121536/*