My Notes ASR Your Teache The equipotential lines in a region of electric field a

Question

My Notes ASR Your Teache The equipotential lines in a region of electric field are shown in the diagram below. For each path indicated below, what is the work done by the electric field in moving a charge q = +3.0 x 10-C along that path? Here Vo = +110 V 3V oV -2Vo -3V (a) from A to B WAB= -8.1E-05 How is the work done by an electric field related to the potential difference between the initial and final locations? J (b) from A to C WAC= 0 (c) from A to D WAD = 1.5E-05 The difference in electric potential is always final minus the initial values. J (d) from D to C WDc1.5E-05 The difference in electric potential is always final minus the initial values. J

Explanation / Answer

Work = q*deltaV = q(Vf -Vi)

a) WAB = q(-2Vo - -Vo) = -qVo = -3*10^-7*110 = -3.3*10^-5 J

b) WAC = q(-Vo - -Vo) = 0 J

c) WAD = q(2Vo - -Vo) = 3qVo = 3*3*10^-7*110 = 9.9*10^-5 J

d) WDC = q(-Vo - 2Vo) = -3qVo = -3*3*10^-7*110 = -9.9*10^-5 J

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