Question

Two like charged balloons have a force of .420 if the force is increased by a factor of four and the distance is doubled, what is the charge?

Answer 1

Answer on question #58084, Physics / Electromagnetism

Question Two like charged balloons have a force of .420 if the force is increased by a factor of four and the distance is doubled, what is the charge?

Solution Electrostatic force between two charges is

$F=k\frac{q_{1}q_{2}}{r^{2}}$

If the force is increase in 4 times and distance is doubled, you have to increase each charge in 4 times to make this equation correct:

$4F=k\frac{4q_{1}\cdot 4q_{2}}{(2r)^{2}}$

Answer: increase each charge in 4 times.

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