It was shown in Example 21.11 (Section 21.5) that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude E = λ/2πє0r. Consider an imaginary cylinder with radius r = 0.250 m and length I = 0.400 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 6.00/µC/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 I = 0.800 m?