In the figures below, the dotted lines show the equipotential lines of electric

Question

In the figures below, the dotted lines show the equipotential lines of electric fields. (A charge moving along a line of equal potential would have a constant electric potential energy.) A charged object is moved directly from point A to point B. The charge on the object is +1 Mu C. How does the amount of work needed to move this charge compare for these three cases? Most work required in I. Most work required in II. Most work required in III. I and ii require the same amount of work but less than III. All three would require the same amount of work. How does the magnitude of the electric field at B compare for these three cases? I>III>II I>II>III III>I>II II>I>III I=II=III For case III what is the direction of the electric force exerted by the field on the + 1 Mu C charged object when at A and when at B? left at A and left at B right at A and right at B left at A and right at B right at A and left at B no electric force at either.

Explanation / Answer

Here ,

charge on the object , q = 1 uC

17)

As the charge is moved through potential difference same for all the cases

charge is moved through potential difference = 40 - 20

charge is moved through potential difference = 20 V

work done = charge * potential difference

work done is same for all the cases

e) All three would require the same amount of work.

18)

as electric field = potential diffence/distance

hence , for the electric field

electric field II > electric field I > electric field III

correct option is II > I > III (option d)
19)

as the electric field points in the direction of decreasing potential difference

electric field points to the Left

hence , the direction of electric force

a) left at A and left at B

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