- #1
Abid Mir
- 24
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Ok we know that the electric field(uniform or non uniform) is a conservative field.
Imagine three horizontal electric field lines in '+X' direction separated by unequal distances let's say line 1 and 2 is separated by distance 'a' and line 2 and 3 is separted by some distance 'b' such that line 1 and 3 are separated by distance 'a+b' where ' a<b ' ( non uniform electric field lines). Now imagine a rectangular loop which encloses half distance of ' a ' and again half distance of 'b'. Now if we calculate the total work done in moving a unit charge in the rectangular loop we see that the work done comes non zero as a<b and electric field in the region of a is greater than the region of b. That shows that these electric field lines cannot exist. BUT while drawing non uniform electric field we draw them the same way as these lines are drawn. So is our way of drawing non uniform electric field lines incorrect?
Imagine three horizontal electric field lines in '+X' direction separated by unequal distances let's say line 1 and 2 is separated by distance 'a' and line 2 and 3 is separted by some distance 'b' such that line 1 and 3 are separated by distance 'a+b' where ' a<b ' ( non uniform electric field lines). Now imagine a rectangular loop which encloses half distance of ' a ' and again half distance of 'b'. Now if we calculate the total work done in moving a unit charge in the rectangular loop we see that the work done comes non zero as a<b and electric field in the region of a is greater than the region of b. That shows that these electric field lines cannot exist. BUT while drawing non uniform electric field we draw them the same way as these lines are drawn. So is our way of drawing non uniform electric field lines incorrect?