Electricity and Magnetism - PHYS 212 Homework 1 Problem 1: What is the force F on the 1.0 nC charge at the bottom in -G.OnC Fig.1. Give your answer in component form. 2.0nCO 30 a) In Fig. 1, draw the vectors that represent the forces F1, F2, and Fy, exerted on the bottom charge by charges 1, 2, and 3, respectively. S.Dam 5.Dom Pay attention to represent correctly the ratios between the magnitudes of the forces (lengths of the vectors). Without doing calculations, try to 1.OnC predict the direction of the total force on the bottom charge (the total force is the vector sum of the individual forces, F = F, + F2 + F;). FIG. 1: The scheme for Problem 1 b) Compute the magnitudes of the individual forces, [Fil, |Fal, and IFyl, using Coulomb's law (make sure that the forces are expressed in Newtons). c) Express the forces in the component form. For example, the force -G.OnC. F, shown in Fig.2 can be written as F, = [F, | cos 45 1 - [F, | sin 45"]. 2.0nC ....-2.OnC 30 S.Dam 5.Dam FIG. 2: The scheme for Problem ic d) Compute the total force F as the vector sum of forces Fi, F2, and Fy (the x-component of F is equal to the sum of the x-components of F1, F2, and Fy, etc.). Check whether the direction of F coincides with the prediction that you made earlier