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A charge is to be divided into two small parts. What should be the value of the charges on the parts so that the force between the parts will be maximum? |
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Answer» Solution :Let Q and (Q-q) be the charges on those bodies FORCE between the charges `F= 1/(4 pi in_0) ((Q - q)q)/(r^2)`, For F to be maximum `(dF)/(dq) = 0` `d/(dq)(Q - q)q = 0 implies (Q - q) q = 0 implies (Q- q) + (-q) = 0 implies Q - 2 q = 0, q = Q//2`. Thus the CHARGE should be divided equally on the objects. |
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