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Question

Figure shows a closed surface which intersects a conducting sphere. If a positive charge is placed at point P, find the sign of flux passing through the curved surface S.
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Solution
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By induction the charge induced on the left side of sphere is positive as shown in figure. Thus, the charge enclosed by closed surface S is positive. By Gauss's law the flux is proportional to enclosed charge. Hence the sign of the flux will be positive.
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