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Electrostatic Potential 
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#1
Apr1909, 04:58 AM

P: 1,439

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
Apr1909, 06:36 AM

HW Helper
PF Gold
P: 1,961

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.



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