Practice Coulomb's Law in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.

Like gravity between masses, but for charges. Double the distance and the force drops to one quarter. Double either charge and the force doubles.

Example 1

medium
Two charges q_1 = 3 \times 10^{-6} \text{ C} and q_2 = 5 \times 10^{-6} \text{ C} are separated by 0.2 \text{ m}. What is the electrostatic force between them? Use k = 9 \times 10^9 \text{ N m}^2/\text{C}^2.

Example 2

hard
Two identical charges experience a force of 0.1 \text{ N} when separated by 0.3 \text{ m}. What is the magnitude of each charge?

Example 3

medium
If the distance between two charges is tripled, by what factor does the electrostatic force change?

Example 4

hard
Two charges q_1 = +4 \times 10^{-6} \text{ C} and q_2 = -2 \times 10^{-6} \text{ C} are separated by 0.1 \text{ m}. (a) Calculate the force between them. (b) Is the force attractive or repulsive? Use k = 9 \times 10^9 \text{ N m}^2/\text{C}^2.