It was shown in an example that the electric field due to an infinite line

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It was shown in an example that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude E=frac{lambda}{2pi epsilon_0 r}. Consider an imaginary cylinder with radius r = 0.250 m and length l = 0.400 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is l = 3.00 mC/m. (a) What is the electric flux through the cylinder due to this infinite line of charge? (b) What is the flux through the cylinder if its radius is increased to r = 0.500 m? (c) What is the flux through the cylinder if its length is increased to l = 0.800 m?

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