Problem 1.1 q3 Three positive point charges ; = qo, g2 = 2qp, and g3 = 3 are located at the corners of an equilateral triangle of side length a, as shown above. a) Find the components F, and F, of the net force F acting on g;. b) Find the magnitude and direction of F. Problem 1.2 Y I a1 111 I 60 L o1 IV as Two uniformly-charged infinite planes, carrying positive surface charge densities oy = 0 and o3 = 20y, intersect along the z-axis, separating space into four regions. The zy-plane cross-section of the two charged planes is shown above. Find the magnitude and direction of the electric field in region I. Problem 1.3 Point charges +q and q are located along the y-axis at y = d/2 and y = d/2, respectively. In this week's notes and in the discussion section,! we used the binomial approximation to find the electric field on the y-axis for y > d, 1 2qd V' dmey 33 Again using the binomial approximation, show that, on the z-axis for x > d, the electric field is 1 qd B~ -2 v 4mey x3