A) must be defined as \[-\int\limits_{P}^{Q}{\overrightarrow{E}\,}.\,d\overrightarrow{t}\]
B) is zero
C) can have a non-zero value
D) both [a] and [b] are correct
Correct Answer: D
Solution :
Work done to move a unit charge along an equipotential surface from P to Q, \[W=-\int\limits_{P}^{Q}{\overrightarrow{E}\,.\,\overrightarrow{dl}}\] On equipotential surface \[\overrightarrow{E}\,\bot \,\overrightarrow{dl}\] \[W=-\int\limits_{P}^{Q}{E\left( dl \right)\,\cos 90{}^\circ =0}\]
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