On the interaction force between a point charge and an infinite dielectric plate of finite thickness
We derive the expression for the interaction force between a point charge and an infinite dielectric plate of finite thickness. This expression contains the Lerch transcendent function and is convenient for numerical calculations. Using this equation we investigate the peculiarities of the interaction force in several limiting cases. The consideration of this problem will be useful for advanced undergraduates, who study methods for solving electrostatic problems.