In the figure is shown two charges, Q1 and Q2. Around each charge is a circle, t

Question

In the figure is shown two charges, Q1 and Q2. Around each charge is a circle, the circles having the same radius. So, each point on the circles is the same distance from one of the charges.

For this problem, let Q1 > 0 and Q2 = - Q1.

Consider moving a negatively charge object, at a constant speed, along each of the four paths shown and labeled A, B, C, and D. The paths start at one of the two black dots and end at the arrow heads on the path. (So, for example, moving the negative charge along the path A means the charge starts at the dot on the right circle and ends up at the bottom of the left circle.) Below are rankings of these paths. Which one of thes rankings correctly lists these paths in order of the change in potential energy of the negative charge as it is moved along the path? In other words, the "highest" for "first" path should have the largest change in potential energy. As always, the change is final (arrow head) minus initial (dot), negative numbers are less than positive numbers, and more negative numbers are less than less negative numbers.

The options are...

A = B > C = D

C > B > D > A

B = C > A = D

B > C > A > D

A = D > B = C

B > A > D > C

A > B > C > D

A > D > B > C

C = D > A = B

D > C > B > A

A = B = C = D

C > D > A > B

D > A > C > B

A = B > C = D

Explanation / Answer

Here ,

both theses circles are equipotential surface ,

as electric force is conservative in nature ,

work done required to move charges from one equipotential surface to other will be same and it will be independent of path

for change in potential energy

as Q1 > 0 and Q1 = - Q2

Now , for the change in potential energy

the order is

9)   
C = D > A = B

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