Grounding Resistance of a Hemispheric Electrode Located on the Top of a Finite-Height, Cone-Shaped Mountain

In this letter, we present an analytical solution for the resistance of a hemispheric grounding electrode located on the top of a mountain. The mountain is modeled as a truncated cone with a finite height. Recently, a closed-form solution for the grounding resistance was derived first for a hemispheric electrode on top of a cone and later for a more realistic case of a truncated cone with a flat region at its top. The height of the cone was considered infinite in those studies. Here, we extend these studies for the case of a truncated cone with finite height. The analytical solution is compared with numerical simulations and the results agree reasonably well.