AIPMT PRELIMS 2005 Physics Electric Potential and Work Done MCQ Question
As per this diagram a point charge -q is placed at the origin O. Work done in taking another point charge -Q from the point A [co-ordinates (0, a)] to another point B [co-ordinates (a, 0)] along the straight path AB is :

zero
((-qQ/4πε₀)(1/a²)) √2a
((qQ/4πε₀)(1/a²)) . a√2
((qQ/4πε₀)(1/a²)) √2a
Correct Answer
Detailed Explanation
The work done in moving a charge in an electric field is given by the potential difference times the charge. Since the path is perpendicular to the field lines, the work done is zero.
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