  We show that it is possible to generate a random walk with an electrostatic
field by means of several parallel infinite charged planes in which the surface
charge distribution could be either $\pm\sigma$. We formulate the problem of
this stochastic process by using a rate equation for the most probable value
for the electrostatic field subject to the appropriate transition probabilities
according to the electrostatic boundary conditions. Our model gives rise to a
stochastic law when the charge distribution is not deterministic. The
probability distribution of the electrostatic field intensity, the mean value
of the electrostatic force and the energy density are obtained.
