Concepts Of Physics MCQ Edition [Volume 1]PhysicsThe Forces
Determine the distance at which two charges, each equal to 1 C , must be placed so that the force between them is equal to your weight W .
Options
- A1 4 ₀ W
- B1 4 ₀ W
- C1 4 ₀ W
- D4 ₀ W
Correct answer
A. 1 4 ₀ W
Step-by-step solution
According to Coulomb's law, the electrostatic force between two charges q₁ and q₂ separated by a distance r is given by F = 1 4 ₀ q₁ q₂ r^2 . Given that q₁ = 1 C , q₂ = 1 C , and F = W . Substituting these values into the formula, we get W = 1 4 ₀ 1 1 r^2 . Rearranging the equation to solve for r^2 , we obtain r^2 = 1 4 ₀ W . Taking the square root of both sides gives r = 1 4 ₀ W .