All Problems

Constant Electric Field in a Vacuum

Problem 3.46

A dipole with an electric moment p\mathbf{p} is located at a distance rr from a long thread charged uniformly with a linear density λ\lambda. Find the force F acting on the dipole if the vector p\mathbf{p} is oriented (a) along the thread; (b) along the radius vector r\mathbf{r} (c) at right angles to the thread and the radius vector r\mathrm{r}.

Reveal Answer
(a) F=0\mathbf{F}=0 (b) F=λp2πε0r2\mathbf{F}=-\frac{\lambda \mathbf{p}}{2 \pi \varepsilon_{0} r^{2}} (c) F=λp2πε0r2\mathbf{F}=\frac{\lambda \mathbf{p}}{2 \pi \varepsilon_{0} r^{2}}