#### Title

Mathematical expressions for a system of two identical uniformly charged rods

#### Document Type

Article

#### Publication Date

11-1-2014

#### Abstract

Uniformly charged bodies with various symmetries are of great interest to many models in several disciplines. In particular, there are numerous physical and biological systems that contain rod-like charged particles. In this work, we consider a system of two identical uniformly charged rods and calculate their electrostatic interaction energy for a special case of orientation between them. A first approach that relies on standard integration methods allows us to obtain an exact analytic expression for such an interaction in this case. Application of a second different method to the same problem leads to mathematical expressions involving generalized hypergeometric functions, a class of special functions not frequently encountered in the field. Comparison of the two results leads to interesting mathematical identities that might be of interest to a broad audience of researchers working in mathematical and physical sciences.

#### Recommended Citation

Ciftja, O., Paredes, G., & Griffin, M. (2014). Mathematical expressions for a system of two identical uniformly charged rods. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/200