The conical resistor conundrum: A potential solution

Joseph D. Romano, Richard H. Price

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

A truncated cone, made of material of uniform resistivity, is given in many introductory physics texts as a nontrivial problem in the computation of resistance. The intended method and answer are incorrect and the problem cannot be solved by elementary means. In this paper, we (i) discuss the physics of current flow in a nonconstant cross-section conductor, (ii) examine the flaws in the "standard" solution for the truncated cone, (iii) present a computed resistance found from a numerically generated solution for the electrical potential in the truncated cone, and (iv) consider whether any problem exists to which the standard solution applies.

Original languageEnglish
Pages (from-to)1150-1153
Number of pages4
JournalAmerican Journal of Physics
Volume64
Issue number9
DOIs
StatePublished - Sep 1996

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