Final answer:
To find the location where a third charge can be placed so that the net force on it is zero, consider the forces acting on the charge.
The third charge can be placed along the line joining the positive and negative charges at a distance equal to the distance between them for zero net force. When the charges are both positive, there is no point where the net force on the third charge will be zero.
Step-by-step explanation:
To find the location where a third charge can be placed so that the net force on it is zero, we need to consider the forces acting on the charge. The force between two point charges is given by Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
In this case, when the charges are positive and negative, the third charge can be placed along the line joining the positive and negative charges at a distance equal to the distance between them, 0.250 m, to have a net force of zero.
However, when the charges are both positive, there is no point where the net force on the third charge will be zero.