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- Homework Statement
- Consider a cloud of electros in a three-dimensional space. The cloud has a spherical form of radius R₀ and its particle density distribution is given by ρ(r)=ρ₀(1-r/R₀) for 0<r<R₀, where r is the radial distance from the center of the cloud. Calculate the electrostatic potential energy of the cloud.

- Relevant Equations
- Gauss's law and electrostatic potential energy equation

Hi, I'm new here, so I don't know how to write mathematical equations, and I may not be fully aware of the rules here, so I'm sorry if I made a mistake.

I know how to calculate the electrostatic potential energy of a countable number of charged particles, but I don't know how to calculate the electrostatic potential energy of a continuous charge distribution. Can anybody help me with this?

I know how to calculate the electrostatic potential energy of a countable number of charged particles, but I don't know how to calculate the electrostatic potential energy of a continuous charge distribution. Can anybody help me with this?