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Q.

A uniform electric field of magnitude 325Vm-1 is directed in the negative y-  direction in figure. The coordinates of point A are -0.2m,-0.3m and those of point B are 0.4m,0.5m. Then the potential difference between points B and A along the path shown in the figure is

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a

620 V

b

240 V

c

420 V

d

260 V

answer is C.

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Detailed Solution

VB-VA=-ABE.d s               =-ABExi^+Eyj^+Ezk^.dxi^+dyj^+dzk^               =-ExxAxBdx+EyyAyBdy+EzzAzBdz               =-ExxB-xA+EyyB-yA+EzzB-zA               =--3250.5--0.3=325×0.8=260 V              VB-VA==260V

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