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.
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