Two positive point charges are a fixed distance apart. the sum of their charges is qt. what charge must each have in order to maximize the electric force between them.

Two positive point charges are a fixed distance apart. the sum of their charges is qt. The charge that must each have in order to maximize the electric force between them is

The electric force is directly proportional to the amount of charge ( and ) and inversely proportional to the distance between the charges r.

The sum of the two charges is

, let

then

Then the force between two charges is given by the formula

Therefore the force is

a. given that the distance between the two charges is fixed. To get the maximum force the condition is

, where

are constants

Now,

Where

The force between the two charges is maximum only when

So if the two charges have the value then the force is maximum

Grade:  9

Subject:  physics

Chapter:  the electric force

Keywords:  point charges,  the electric force, fixed distance apart, charge, force

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