Problem 4: A thin, non-conducting rod is in the shape of a semicircle of radius R. It has a varying charge per unit length 1 described by 1 = 1, sin 20, where O is defined in the figure. R X a. Sketch the charge distribution along the semicircle. L'O Is the charge in the left half of the semicircle positive or negative? b. What is the direction of the electric field E at point ), the center of the semicircle? c. Find the magnitude of the electric field at point O.Problem 4: A thin, non-conducting rod is in the shape of a semicircle of radius R. It has a varying charge per unit length 1 described by 1 = 1, sin 20, where O is defined in the figure. R X a. Sketch the charge distribution along the semicircle. L'O Is the charge in the left half of the semicircle positive or negative? b. What is the direction of the electric field E at point ), the center of the semicircle? c. Find the magnitude of the electric field at point O.Problem 6: a. Consider a uniformly charged thin-walled right circular cylindrical shell having a total charge Q, radius R, and height h. Determine the electric field at a point a distance d from the right side of the cylinder as shown in the figure. (Suggestion: treat the cylinder as a collection of ring charges.) b. Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Find the filed it creates at the same point. d daProblem 6: a. Consider a uniformly charged thin-walled right circular cylindrical shell having a total charge Q, radius R, and height h. Determine the electric field at a point a distance d from the right side of the cylinder as shown in the figure. (Suggestion: treat the cylinder as a collection of ring charges.) b. Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Find the filed it creates at the same point. d da