All Problems

Constant Magnetic Field, Magnetics

Problem 3.251

Find the magnitude and direction of a force vector acting on a unit length of a thin wire, carrying a current \(I=8.0 \mathrm{~A}\), at a point \(O,\) if the wire is bent as shown in (a) Fig. 3.68a, with curvature radius \(R=10 \mathrm{~cm}\) (b) Fig. \(3.68 b,\) the distance between the long parallel segments of the wire being equal to \(l=20\) cm.

Reveal Answer
3.251. (a) \(F_{1}=\mu_{0} I^{2} / 4 R=0.20 \mathrm{mN} / \mathrm{m}\) (b) \(F_{1}=\mu_{0} I^{2} / \pi l=\) \(=0.13 \mathrm{mN} / \mathrm{m}\)