AIIMS 2017 Physics Electric Potential and Work Done MCQ Question
The charges +q and −q are placed at the points A and B respectively which are a distance 2L apart, C is the mid-point between A and B. The work done in moving a charge +Q along the semicircle CRD is
qQ / 4πε₀L
qQ / 2πε₀L
qQ / 6πε₀L
−qQ / 6πε₀L
Correct Answer
Detailed Explanation
To find the work done in moving a charge +Q along the semicircle from point C to point D in the electric field created by charges +q at A and −q at B, we calculate the electric potential difference between these points. The potential at point C due to both charges is zero, while at point D, it is negative due to the influence of the negative charge −q, resulting in a work done of W = -qQ / (6πε₀L). Other options are incorrect as they do not account for the specific geometry and contributions of the electric field from both charges along the semicircular path.
Found an issue with this question?