Question

A force of 2.4x10² N exists between a positive charge of 8x10^-5C and a positive charge of 3x10^-5C.What distance separates the charges?

Answer 1

0.3 m

Explanation:

We have the following formula for the force between two charges:

`\begin{gathered} F=k\cdot(q_1\cdot q_2)/(d^2) \\ \text{ solving for d} \\ d^2=k\cdot(q_1\cdot q_2)/(F) \\ d=\sqrt[]{k\cdot(q_1\cdot q_2)/(F)} \end{gathered}`

We replace the values and calculate the distance:

`\begin{gathered} d=\sqrt{9\cdot10^9(8\cdot10^(-5)\cdot3\cdot10^(-5))/(2.4\cdot10^2)} \\ dPorlo=0.3\text{ m} \end{gathered}`

Therefore, the distance between both charges is 0.3 m