It was shown in Example 21.11 (Section 21.5) in the textbook that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude E=λ/2πϵ0r. Consider an imaginary cylinder with a radius of r = 0.230 m and a length of l = 0.480 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 4.60 μC/m.
What is the electric flux through the cylinder due to this infinite line of charge?
What is the flux through the cylinder if its radius is increased to r= 0.515 m?
What is the flux through the cylinder if its length is increased to l= 0.765 m?
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