Question

Numerical problem on Coulomb's law 1. Find the magnitude of product of two charges kept 1 metre aparat when a active force of 9.10^9 newton is acting between them.

Answer 1

In order to calculate the product of charges, we can use the formula below for the force acting on two charges (Coulomb law):

`|F|=k_e\frac{|q_1q_2|_{}}{r^2}`

Where ke is the Coulomb constant (ke = 9 * 10^9), q1 and q2 are the charges and r is the distance between the charges.

So, for r = 1 and F = 9 * 10^9, we have:

`\begin{gathered} 9\cdot10^9=9\cdot10^9(|q_1q_2|)/(1^2) \\ |q_1q_2|=1 \end{gathered}`

Therefore the product of the charges is 1 Coulomb.