Problem 1. (2022-06-20 07:27) Electric fields and forces due to point charges Suppose that a -4.0 C charge lies at the origin; a 3.0 C charge lies 2.0 x 10 m, 30 South of East; and a -6.0 C charge lies 5.0 x 10 m, 40 West of South. Find the magnitude and direction of the net electric field and net electric force. Draw the problem to scale in terms of distances and field magnitudes. Problem 2. (2022-06-20 07:40) Electric field due to an infinite line charge Suppose that an infinite wire with line charge density of A lies along the z-axis and passes through the origin. Express the x-, y-, and z-components of the differential electric field dE at the position r = x1 due to a different line charge element dq = Adz. Use integration to find the x-, y-, and z- components of the electric field E. You must illustrate the problem and draw the electric fields