Two point charges exist in space. One charge is halved and the other charge is quartered and the distance between the two charges is halved. By what factor will the force between the two charges change? Explain/Justify your answer.
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Answer:
The force between them will be halved .
Explanation:
The force between the two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them .
Point charge means that their masses are 1
F = kq1q2/r^2
F = k*1/2*1/4 upon (r/2)^2
F = kq1q2/2d^2
F = 1/2(kq1q2/d^2)
F = F/2
Therefore the force between them will be halved .
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