# Question #eb655

##### 1 Answer

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

Now

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

This means