Question

A charge q is moved from A to B in the region of a fixed ideal dipole p. Find the work done on the charge (assume gravity free space)

Answer 1

your question is incomplete. A complete question is ----> A charge 'q' is moved from a point A above a dipole of dipole moment 'p' to a point B below the dipole in equatorial plane without acceleration. Find the work done in the process.

solution : workdone = $q(V_B-V_A)$

here, $V_A$ is potential at point A and $V_B$ is potential at point B.

because A is placed as same distance from dipole as B.

so, potential at A = potential at B

so, $V_B-V_A=0$

hence, workdone on the charge = q × 0 = 0

hence, answer is 0.

Answer 2

Answer:

-2kp cos theta / r²

Here you go with the explanation..