Recent interest in problems in higher space dimensions is becoming increasingly important and attracted the attention of many investigators in variety of fields in physics. In this paper,the electrostatic energy of two geometries (a charged spherical shell and a non-conducting sphere) is calculated in higher space dimension,N. It is shown that as the space dimension increases,up to N = 9, the electrostatic energy of the two geometries decreases and beyond N = 9 it increases. Furthermore, we discuss a simple example which illustrates classical renormalization in electrostatics in higher dimensions.
A calculation of the energy loss due to a transition from non-equilibrium to equilibrium state in the process of charging a capacitor is given. In this study, it is shown that half of the total energy produced by the battery should be consumed in one form or another to reach the equilibrium state, regardless of the values of the resistance and capacitance.