All Problems

Constant Magnetic Field, Magnetics

Problem 3.257

A direct current \(I\) flows in a long straight conductor whose cross-section has the form of a thin half-ring of radius \(R .\) The same current flows in the opposite direction along a thin conductor located on the "axis" of the first conductor (point \(O\) in Fig. 3.61 ). Find the magnetic interaction force between the given conductors reduced to a unit of their length.

Reveal Answer
F1=μ0I2/π2RF_{1}=\mu_{0} I^{2} / \pi^{2} R