Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Electric Field and Potential
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Field and Potential
Two identical positive charges are positioned at points A and B ....
Two identical positive charges are positioned at points and . As one travels from to , the electric potential at locations between and (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 be placed at points and separated by a distance .
Let the origin be the midpoint of . The coordinates of and are and respectively.
The electric potential at a distance from the midpoint (where ) is given by:
As we move from to the midpoint, changes from to . The denominator increases, so decreases.
At the midpoint (), is minimum.
As we move from the midpoint to , changes from to . The denominator decreases, so increases.
Thus, the electric potential initially decreases and then increases.
Let the origin be the midpoint of . The coordinates of and are and respectively.
The electric potential at a distance from the midpoint (where ) is given by:
As we move from to the midpoint, changes from to . The denominator increases, so decreases.
At the midpoint (), is minimum.
As we move from the midpoint to , changes from to . The denominator decreases, so increases.
Thus, the electric potential initially decreases and then increases.