Problem 3 TRA + + 4+ + R + The electric field due to an infinite line of charge has magnitude = 2πor and is perpendicular to the line. An imaginary Gaussian cylinder with a radius of r = 0.250 m and a length of 1 = 0.400 m is drawn to surround an infinite line of positive charge running along its axis as shown. The charge per unit length on the line is λ= 6.00μC/m, determine the (a) electric flux through the cylinder due to this infinite line of charge. (b) flux through the cylinder if its radius is increased to r = 0.500 m. (c) flux through the cylinder if its length is increased to 1 = 0.800 m. [4] [3] [3]

Fig: 1