A charge of 4 μ C is to be divided into two. The distance between the two divided charges is constant.…

A charge of 4μC is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be:
  1. 1μC and 3μC
  2. 2μC and 2μC
  3. 0 and 4μC
  4. 1.5μC and 2.5μC

Solution

If after division, one of the charge is q the other charge will be 4-q. The force between them can be written as,

F=Kq4-qd2

For the force between them to be maximum,

dFdq=0Kd24-2q=0

q=2 μC

Asked in: JEE Main 2022 (27 Jul Shift 2)

Practice more Electrostatics questions on Aicharya