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An electric field is = sign(x)·(340 N/C), where sign(x) equals ?1 if x < 0, 0 if x = 0, and +1 if x > 0. A cylinder of length L = 16 cm and radius R = 5.2 cm has its center at the origin and its axis along the x axis such that one end is at x= +8 cm and the other is at x = -8 cm.

(a) What is the flux through each end?

(b) What is the flux through the curved surface of the cylinder?

(c) What is the net outward flux through the entire cylindrical surface?

(d) What is the net charge inside the cylinder?

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