All Problems

Constant Magnetic Field, Magnetics

Problem 3.264

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

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