Question

A charged particle moves in an electric field from $A$ to $B$ then from $B$ to $A$ :

• 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

Answer 1

Answer: (B)

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, $W_{A B}+W_{B A}=0$, then the field is conservative.