Find The Force Of Interaction

Electricity and Magnetism Level 5

Consider a solid hemisphere having volume charge density \(\rho\) and radius \(R,\) and a semi-infinite rod arising from center of its base having line charge density \(\lambda\). 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)

  • \(\rho = 1.23 \times 10^{-4}\)
  • \(\lambda = 3.21 \times 10^{-4}\)
  • \(R = 0.5\)
  • \(\epsilon_{0} = 8.85 \times 10^{-12}\)

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