# 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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