By coulomb's law the force acting between two point charges q and Q-q lying r distance apart is given by
Where Q is the total charge, a constant quantity.
k is the Coulmb's constant
q is the varible charge on which the magnitude of force F depends.
- Algebraic process to determine the condition for the maximum value of F
This relation suggests that the magnltude of force F will be maximum only when
This means the force between the two parts of Q will be maximum only when Q is divided in two equal parts and then
- Calculus process
Differentiating equation (1) w .r to q we get
For maximum value of F