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Q.

16. The work done in carrying a particle of a charge 2C from B (1m, 0, 1m) to A(0.8m, 0.6m, 1m) in a non-uniform electric field E=(i^+xj^+k^)N/m along the straight line path from B to A is

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a

−0.96J

b

+0.96J

c

Zero

d

−0.48J

answer is A.

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Detailed Solution

dW=−qE¯⋅dr¯=−qExdx−qEydy−qEzdz=−2ydx−2xdy−2dz=−2d(xy)−2dzw=[−2xy−2z]=[−0.8×0.6×2−2]−2(−1)=−0.965.
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