Question

In an electric field of a point charge $q$, a certain charge is carried from point $A$ to $B$, $C$, $D$, $E$. Then, the work done

• A. is least along path $AB$
  
• B. is least along path $AD$
  
• C. is zero along all paths
• D. is least along path $AE$
  

Answer 1

The correct option is C is zero along all paths

Since the work done $=$ point along $(+q)\times$ change in potential difference between two points

Since for a point charge $+q$, the electric field is uniformly spherically symmetric around the charge.

So, potential at all the points $A$, $B$, $C$, $D$, $E$ is same.

So, change in potential from point $A$ to any other point is zero.

So, the work done in either case is zero.