# Find the force of interaction-3

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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