By using Coulomb's law, we want to find the value of q₁ given that q₂ experiences no net electric force. We will find that q₁ = 8nC
<h3>Working with Coulomb's law.</h3>Coulomb's law says that for two charges q₁ and q₂ separated by a distance r, the force that each one experiences is:
Where k is a constant
Here we can see that q₂ interacts with two charges, then the total force on q₂ will be:
And we know that it must be equal to zero, so we can write it as:
The parenthesis must be equal to zero, so we can write:
And now we can solve this for q₁ to get:
If you want to learn more about Coulomb's law, you can read: