Find The Force Of Interaction

Consider a solid hemisphere having volume charge density ρ\rho and radius R,R, and a semi-infinite rod arising from center of its base having line charge density λ\lambda. They are arranged as shown in the figure below:

Find the force of interaction between them in Newtons.

Details and Assumptions (all in SI units)

  • ρ=1.23×104\rho = 1.23 \times 10^{-4}
  • λ=3.21×104\lambda = 3.21 \times 10^{-4}
  • R=0.5R = 0.5
  • ϵ0=8.85×1012\epsilon_{0} = 8.85 \times 10^{-12}
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