Find the force of interaction-3

Electricity and Magnetism Level 5

Consider two non conducting solid cylinders each having length L and radius R, such that R<<L. Both of them have charge density \(\rho\). They are placed such that the distance between their axes(parallel to each other) is R. Find the force of interaction between the cylinders in Newtons. The cross-section of the arrangement is shown below:

Details and assumptions:

  • \(\rho = 100 \mu C/m^3\)

  • \(R = 0.1 m\)

  • \(L = 10 m\)

Note: I am really sorry for those who have tried it before the answer correction. Actually, there was an error in my input to calculator . Also, the answer is not \(\dfrac{2\rho^2 R^3 L}{9 \epsilon_{0}} (8 - \pi)\), as was in the dispute sent by someone.


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