Question #b8f8e

1 Answer
Jun 15, 2016

There are three similarities as discussed below.

Explanation:

Similarities

  1. Both Gravitational force and Coulomb's force follow inverse square law with respect to the distance between the two interacting objects.
    #Fprop1/r^2#
  2. Both these forces are proportional to the product of physical property of the interacting bodies. Mass in case of Gravitational force and charge in case of Coulomb's force.
    #Fprop k_1 k_2#
  3. Both the electric and gravitational force fields satisfy Poisson's equation
    #∇^2Φ_G=4πρ_G#
    #∇^2Φ_E=−ρ_E/epsilon_0#

where #Φ_G and Φ_E# are the gravitational and electric potentials.
#ρ_G and ρ_E# are the mass and charge densities respectively
and #ε_0# is permittivity of free space.

This is where similarities end.