Theory: Coulomb's Law: \"The magnitude of the electric force that a particle exerts on another is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.\" Mathematically, the magnitude of this electrostatic force F E acting on two charged particles (ql, C12) is expressed as: 1 (11% 2 Fr: E 441620 r Where r is the separation distance between the charged objects, 60 is the permittivity of free F . 1 . . . . space = 335419732 * 10 12 . Since lSJUSt some constant, we refer to it as Just m 41160 9F 9F \"Coulomb's constant, k\". When calculated, k = 8.99 * 10 a $9 * 10 5 Part (1): Finding the electric constant, k Procedures: 1) Go to the following link htt s:// hetcolorado.edu/sims/htrnl/coulombs-law/latest/coulombs-law_en.html Select \"macro scale\" and x the charge q1=2uC and q2=4uC. Turn on scientic notation and force value. Force on on by q, = 7.191 N Force on L1] by q; : 7219 N Charge 1 Charge 2 9 Force Values 4. H 1 2- 8 Seientic Nolalion n _, 2) Change the distance between the two charges as shown in Table 1, record the force value for each distance in Table l 3) Complete the Table 1 calculations. Credit: Joshua So nderegger Data Table 1 q192 C ]= r [cm] FE [N] [m' ] FEIN 9192 C2 10. 9.0 8.0 7.0 6.0 5.0 4.0 3.0 4) Create a plot of FEVS / . Include axes titles with units and a figure title COPY AND PASTE PLOT HERE 5) The pattern that appears in the graph above is a 1/r^2 relationship. Therefore, adjust your x-axis to be 1/r 2. In addition, adjust the y-axis to be- so that the trend is independent 9192 FE of charge. Find a trend in this data by plotting ( 9 192 ) VS -2 . Format the plot properly with axes titles and units, figure name, best fit equation, and R^2 where 'R' is the coefficient of determination (see video https://youtu.be/j9ixw4ZDwgE). COPY AND PASTE PLOT HERE 6) What does the slope of this line represent? . . . . . . 7) Now that we have established a correlation, we can use more analytical techniques to find a number for Coulomb's constant. Table 2 9192 C ]= r [cm] r? [m' ] FE [N] K = - FE(r ) F1 (q q, ) m 10 9.0 8.0 Credit: Joshua Sonderegger7.0 6.0 5.0 4.0 3.0 8) Find the average k, k, and percent error of k ,%k, if k theory ~9* 10" -. For calculations of k, let's assume that charge and distance are measured with no uncertainty, and that the amount of sig figs the answer should have is the same number of sig figs as are in the measurement for force. Results Table k [F/m] Part (2): Analysis . . . . . . . . . . . . . . ... 1) What is the electric field magnitude that ql and q2 experiences when they are 10cm apart? . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Credit: Joshua Sonderegger