Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential
Two identical positive charges are positioned at points A and B . As one travels from A to B , the electric potential at locations between A and B (excluding the exact locations of the charges)
Options
- Ainitially decreases and then increases
- Bdecreases continuously
- Cincreases continuously
- Dinitially increases and then decreases
Correct answer
A. initially decreases and then increases
Step-by-step solution
Let the identical positive charges +q be placed at points A and B separated by a distance 2a . Let the origin be the midpoint of AB . The coordinates of A and B are -a and +a respectively. The electric potential V at a distance x from the midpoint (where -a V = kq a+x + kq a-x = 2kqa a^2-x^2 As we move from A to the midpoint, x changes from -a to 0 . The denominator a^2-x^2 increases, so V decreases. At the midpoint ( x=0 ), V is minimum. As we move from the midpoint to B , x changes from 0 to a . The denominator a