All Problems

Constant Electric Field in a Vacuum

Problem 3.41

A point electric dipole with a moment p\mathbf{p} is placed in the external uniform electric field whose strength equals E0\mathbf{E}_ {0}. with pE0.\mathbf{p} \uparrow \uparrow \mathbf{E}_ {0} . In this case one of the equipotential surfaces enclosing the dipole forms a sphere. Find the radius of this sphere.

Reveal Answer
R=\sqrt[3] \frac{p}{4 \pi \varepsilon_{0} E_{0}}