A) If \[{{W}_{AB}}>{{W}_{BA,}}\] then the field is conservative
B) If \[{{W}_{AB}}+{{W}_{BA}}=0\], then the field is conservative
C) If \[{{W}_{AB}}+{{W}_{BA}}>0\], then the field is conservative
D) If \[{{W}_{AB}}={{W}_{BA}}\], then the field is conservative
Correct Answer: B
Solution :
In. an electric field the work done in moving a charge from one point to another is independent of the path adopted between the two points. Such a field is called a conservative field. Hence, if a charged particle moves in an electric field from A to B, then from B to A, \[{{W}_{AB}}+{{W}_{BA}}=0\], then the field is conservative.
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