QencQ_{enc}

Given a closed surface SS there is always an outward pointing normal, where by outward pointing we mean that if I travel along the normal direction I can keep going forever without intersecting SS again. We can use a similar definition of inside and outside of SS. QencQ_{enc} on the right hand side of Gauss' law is simply the total charge inside SS.

We have a line of alternating charges on the xx-axis at x=...,2,1,0,1,2,....x=...,-2,-1,0,1,2,.... with a positive charge at the origin. What is the total charge inside a sphere of radius 3.53.5, i.e. what is QencQ_{enc}?

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