How many times will the force acting between two charges change if the distance is doubled? Reduce by 2 times?
| September 27, 2021 | education
r1 = 2 * r.
r2 = r / 2.
F / F1 -?
F / F2 -?
According to Coulomb’s law, the force between two charges F is determined by the formula: F = k * g1 * g2 / r ^ 2.
F1 = k * g1 * g2 / r1 ^ 2 = k * g1 * g2 / (2 * r) ^ 2 = k * g1 * g2 / 4 * r ^ 2 = F / 4.
F / F1 = 4.
F2 = k * g1 * g2 / r2 ^ 2 = k * g1 * g2 / (r / 2) ^ 2 = 4 * k * g1 * g2 / r ^ 2 = 4 * F.
F / F2 = 1/4.
Answer: F / F1 = 4, F / F2 = 1/4.
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