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(a)A charge q is at (a,0,0) and a charge q is at (−a,0,0). Find the electrict...

(a)A charge q is at (a,0,0) and a charge q is at (−a,0,0). Find the electrict field for points along the x axis and close to the origin. Find the electric field for points along the y axis and close to the origin. Make suitable approximations with x ≪ a and y ≪ a and give answers to order x/a and y/a.

(b) Consider a small Gaussian cylinder of radius R and height H centered on the origin with its axis along the x axis. Using your results from part (a), show that the electric flux through the surface of this cylinder is zero to order x/a and y/a.

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