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Question) Calculate the work required to move an electron from A to B along each of the three paths shown in figure 3.84. The electric field is in the positive y direction and has value E = 100 Vm^{-1} over all three paths. What is the potential difference between A and B. Please solve urgent.

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$PotentialdifferencebetweenpointAandBisgivenby:\phantom{\rule{0ex}{0ex}}V={\int}_{A}^{B}Edr\phantom{\rule{0ex}{0ex}}V={\int}_{1}^{3}Edx+{\int}_{1}^{4}Edy=100\left[\left(3-1\right)+\left(4-1\right)\right]=100\times 6=600volt\phantom{\rule{0ex}{0ex}}workdone=qV=-1.6\times {10}^{-19}\times 600=-9.6\times {10}^{-17}Joule$

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