All Problems

Constant Electric Field in a Vacuum

Problem 3.46

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

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