All Problems

Constant Magnetic Field, Magnetics

Problem 3.264

A current \(I\) flows in a long single-layer solenoid with crosssectional radius \(R\). The number of turns per unit length of the solenoid equals \(n .\) Find the limiting current at which the winding may rupture if the tensile strength of the wire is equal to \(F_{l i m}\).

Reveal Answer
Ilim=2Flim/μ0nRI_{l i m}=\sqrt{2 F_{l i m} / \mu_{0} n R}