Answer to Question #120015 in Electricity and Magnetism for Afaq ahmad

Question #120015
Two 200 pounds lead ball are separated by the distance of 1 meter .both ball have sam positive charge q.what charge will produce in electrostatic force between the that is of the same order of magnitude as the weight of one ball.
1
Expert's answer
2020-06-04T09:56:52-0400

First, convert 200 pounds to kilograms: multiply 200 by 0.454: 90.7 kg.

Second, calculate the weight of the ball:


P=mg.P=mg.


On the other hand, this force must be equal to the force of electrostatic interaction:


P=mg=14πϵ0q2r2, q=2rmgπϵ0=2190.79.83.14=106 C.P=mg=\frac{1}{4\pi\epsilon_0}\frac{q^2}{r^2},\\ \space\\ q=2r\sqrt{mg\pi\epsilon_0}=2\cdot1\sqrt{90.7\cdot9.8\cdot3.14}=106\text{ C}.

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