All Problems

Constant Magnetic Field, Magnetics

Problem 3.258

Two long thin parallel conductors of the shape shown in Fig. 3.71 carry direct currents \(I_{1}\) and \(I_{2}\). The separation between the conductors is \(a\), the width of the right-hand conductor is equal to \(b\). With both conductors lying in one plane, find the magnetic interaction force between them reduced to a unit of their length.

Reveal Answer
F1=μ04π2I1I2bln(1+b/a)F_{1}=\frac{\mu_{0}}{4 \pi} \frac{2 I_{1} I_{2}}{b} \ln (1+b / a)