A point charge q is placed near a second different charge Q; Charge q exerts a f

Question

A point charge q is placed near a second different charge Q; Charge q exerts a force F on Q.

For the following independent scenarios, compute the ratio of the new force that q will exert on Q to the

original force F. Rank these ratios from smallest to largest. Explain your reasoning clearly please. Thanks.

a) Double the charge Q to 2Q.

b) Double the distance between the charges.

c) Cut the distance between charges in half

d) Cut the charge of Q in half, and cut the distance between charges in half

Explanation / Answer

original F = kqQ/r2

rank

Fb < F< Fa = Fd < Fc

a) Double the charge Q to 2Q. Fa = 2kqQ/r2

b) Double the distance between the charges. kqQ/4r2

c) Cut the distance between charges in half 4kqQ/r2

d) Cut the charge of Q in half, and cut the distance between charges in half 2kqQ/r2

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