The discussion focuses on calculating the electrostatic potential energy stored in a half cylindrical shell defined by the potential field V(ρ, φ, z) = V_0/ρ in cylindrical coordinates. The relevant equation for energy is W_E = ½∫∫∫ρ_vVdV, where ρ_v represents the volume charge density. Participants emphasize the need to relate the electric field E(ρ, φ, z) to the potential V and suggest using the more common formula W = ∫∫∫(1/2)ε0|E|²dv for energy content in an electric field.
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I have not seen that formula for energy content of an electric field.PeterRV said:Homework Statement
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.
Homework Equations
W_E=½∫∫∫ρ_vVdV
The Attempt at a Solution
I have no idea where to start, since I do not have the ρ_v ...