Electric Mushroom !

Let a solid uniformly charged cone having total charge \(Q\), radius \(R\) and height \(H\) is kept in contact with uniformly charged wire having charge per unit length \(\lambda \) as shown. Then calculate the electric interaction force between them and report your answer to nearest integer.

Details and Assumptions

\[ \begin{eqnarray} Q & = & 1 C \\ R & = & 1m \\ H & = & 1m \\ \lambda & = & 10^{-9} Cm^{-1} \\ \frac {1}{4\pi \epsilon} & = & 9 \times 10^9 Nm C^{-2} \\ \end{eqnarray} \]

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