Electrostatic Potential

  1. why does electrostatic potential obey superposition?

    it's a solution of poisson's equation and solutions of poisson's equation definitely do not obey superposition!
     
  2. jcsd
  3. dx

    dx 2,000
    Homework Helper
    Gold Member

    If [tex] \nabla^2 \varphi_1 = -\rho_1 / \epsilon_0 [/tex] and [tex] \nabla^2 \varphi_2 = -\rho_2 / \epsilon_0 [/tex], then [tex] \varphi_1 + \varphi_2 [/tex] satisfies [tex] \nabla^2 \varphi = -(\rho_1 + \rho_2) / \epsilon_0 [/tex], i.e. the potential of the combined charge distribution [tex] \rho_1 + \rho_2 [/tex] is the sum of the potentials of the individual distributions.
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?