A super thin and infinitely long rod with uniform charge density, λ = 13.6 nC/m, runs through the center of a half-cylindrical shell with radius, R, and length, L = 1.25 m, as shown in the figure. (a) What is the magnitude of the electric field a perpendicular distance, R, from the infinitely long charged rod? Write a symbolic expression for the magnitude of the electric field, in terms of λ, R, L, and Eo, as needed. E= (b) What is the electric flux through the cylindrical shell? Write a symbolic expression in terms of λ, R, L, and Eo, as needed, then calculate its numeric value. PE = N-m²/C

A super thin and infinitely long rod with uniform charge density, λ = 13.6 nC/m, runs through the center of a half-cylindrical shell with radius, R, and length, L = 1.25 m, as shown in the figure. (a) What is the magnitude of the electric field a perpendicular distance, R, from the infinitely long charged rod? Write a symbolic expression for the magnitude of the electric field, in terms of λ, R, L, and Eo, as needed. E= (b) What is the electric flux through the cylindrical shell? Write a symbolic expression in terms of λ, R, L, and Eo, as needed, then calculate its numeric value. PE = N-m²/C