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Calculating electrostatic potential energy

  1. Sep 24, 2015 #1
    1. The problem statement, all variables and given/known data
    Consider potential field V(ρ, φ, z) = V_0/ρ in free space and cylindrical coordinates.
    Calculate electrostatic potential energy stored in half cylindrical shell defined by a≤ρ≤b, 0≤φ≤π and 0≤z≤h.

    2. Relevant equations
    W_E=½∫∫∫ρ_vVdV

    3. The attempt at a solution
    I have no idea where to start, since I do not have the ρ_v ...
     
  2. jcsd
  3. Sep 25, 2015 #2

    rude man

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    I have not seen that formula for energy content of an electric field.
    More common I believe is W = ∫∫∫(1/2)ε0|E|2dv
    dv =element of volume
    where W = energy content
    E = electric field vector field = E(ρ,φ,z).
    So, what is the relation between E and V? Find E(ρ,φ,z), evaluate the integrand, and integrate.
     
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