The dashed lines in the figure below represent equipotentials (with magnitudes l

Question

The dashed lines in the figure below represent equipotentials (with magnitudes labeled in the margins of the drawing) in a region in which there is an electric field. Alto shown are four circles at different distances from pent P. Six point, on these circles are labeled A to F. A positive point charge at rest is moved in a straight line from P to each of the six labeled points in turn. It also ends at rest at these points. OR. the same (nature) amount of work is required to move to all six points. OR. no work is required to move to any of the six labeled points. OR. we cannot determine the ranking from the given information. Carefully explain your reasoning. How sure were you of your ranking? (circle one)

Explanation / Answer

work required to move a charge q from any point 1 to point 2 is given by

W=q*V12

where V12=V2-V1

where V2=potential at point 2

V1=potential at point 1

from the chart, VA=30 volts

VB=-20 volts

VC=-10 volts

VD=0 volts

VE=20 volts

VF=40 volts

VP=20 volts

as charge remains constant, work done is directly propotional to potential difference

between each point from A to F and P .

VPA=VA-VP=10 volts

VPB=VB-VP=-40 volts

VPC=VC-VP=-30 volts

VPD=VD-VP=-20 volts

VPE=VE-VP=0 volts

VPF=VF-VP=40-20=20 volts

hence , ranking them from greatest to larges,

F > A>E>D>C>B

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