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 = 0.105 m and a length of l = 0.410 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λlambda = 5.65 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=0.565 m ?
What is the flux through the cylinder if its length is increased to l=0.785 m ?