Answer:
if the old force is F, the new force is F/9
Explanation:
Recall that the Coulomb force between to charges is inversely proportional to the square of the distance between the charges.
Therefore, if the original distance "d" changes now to be "3d" (tripled), the denominator of the force expression will change from:
[tex]d^2 \,\,\, to \,\,\,(3d)^2 = 9\,d^2[/tex]
thus reducing the original force by a factor 1/9
So if the old force is F, the new force is F/9
If the distance between them is tripled without altering their charges, the force between them becomes F/9.
The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
F = kq₁q₂/d²
where k = 9 x 10⁹ N.m²/C²
If the distance between them is tripled without altering their charges, the force between them becomes
F' = kq₁q₂/(3d)²
F'= 1/9 x kq₁q₂/d²
F' = 1/9 x F
Thus, reducing the original force by a factor 1/9, the new force becomes F/9.
Learn more about electrostatic force.
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