When you have two charges, depending on the distance, the value of the charge, and the charge polarity, the Electrostatic field that is excited has both direction and value that changes in space in a way that is specific to these two charges and their distance. For example, Figure 1 shows the Electric field lines on the plane that contain the two charges. In three dimensions, the electric field distribution in space is shown in Figure 2, you have two charges of the same value but opposite polarities. In this case, the electric field gets its maximum values between the two charges. If we select another plane to observe the field lines, the distribution of these lines will change. As a result, the distribution of the field lines in three dimensions becomes complex and, in many cases, difficult to see. We look at equal potential lines to better understand the electric field distribution (Figure 2). The equipotential lines are divined via the Electrostatic Potential V. As we have seen in previous physics courses, the following equation defines the potential: Figure 1: Electric Field Lines between two equal and opposite charges E = - VV (1) In equation (1), the Electric Field E is the negative gradient of the Electric Potential V. Based on the above, please consider the following problem and answer the posed questions. Each of the questions is worth the Figure 2: The three dimensional distribution of equal-potential lines number of points in parentheses. between two equal in size but opposite in polarity charges.Consider three static charges CA = 5C , QB = 5C and Cc = 2C tied to three separate points A, B, C in the Cartesian Coordinate System given by A = (10,5,0), B = (-10, - 5,0) and C = (0,0,10) all measured from the center of the (x, y, z) coordinate system. a) (50 points) If, in this coordinate system, we bring a free negative charge q = - 1C, find the position of this charge so that the total force applied to it is zero. b) (50 points) For the case of part (a), plot the equipotential lines on the plane defined by the three stationary charges CA, QB, Cc. Write a computer code using Python or another appropriate software (including MATLAB) to plot the equipotential Lines