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Question

20 positively charged particles are kept fixed on the x-axis at points x=1m, 2m, 3m, ....., 20m. The first particle has a charge 1.0×106C, the second 8×106C, the third 27×106C and so on. Find the magnitude of the electric force acting on a 1 C charge placed at the origin.

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Solution

The magnitude of electric force acting on charge Q2
of charge Q1 seperated by a distance r is F12=14πϵQ1Q2r2
Here the total force acting on 1μC charge is
F=20n=110124πϵn3n2
=10124πϵ20n=1n
=1012×9×109×210=1.89N

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