9192 Example 8: Coulomb force in electrostatics is given by the equation Fc = k r2 ' where k is the %3D electrostatic constant and is k = where e, is the permittivity of free space with units A².s+.kg1•m-³. Furthermore q,and q2 represent charges with units A·s, and r is distance with units m. What units does this tell us for force Fc? Note that A is for amps 4πεο - a measurement of current

Consider Q1 = -11 μC , Q2 = 11 μC , q = 62 μC, and L = 11 cm in the figure:  i. Draw the Free body diagram at point of interest (q location) on yourworking paper by using F1 force due to Q1 and F2 force due to Q2?ii. Calculate electric forces F1 and F2 by using Coulomb law? iii. What is the angle between those two forces? iv. Calculate the resultant electric force vector at the location of q ?v. Calculate electric field vector at the location of q ? vi. Calculate the electric potential at the location of q? vii. Calculate the potential energy of the system?

Two charges +2 µC and +8 µC are placed along the z axis, with the first charge at the origin (z =0) and the second charge at z = +1 m. Find the magnitude and direction of the net force on a -2 nC charge when placed at the following locations below. Overall Hint Review Section 5.3 Coulomb's Law. Use Coulomb's Law to calculate force due to each of two charges and add them together for the net force, minding the directions. For part (c), you will need to do the vector sum (more below). a. halfway between the two charges: magnitude of force is direction is Select an answer b. on the axis at x = -0.5 m: magnitude of force is is Select an answer c. at the coordinate (x, y) = (1 m, 0.5 m) (half a meter above the +8 µC charge in a direction perpendicular to the line joining the two fixed charges): Hint for (c) This problem is fully 2-dimensional. The charge at x = 1 m exerts force along y direction; the charge at the origin exerts force along the line connecting (x, y) = (0,0) and (z,y) = (1…

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