a. Consider three charges on a coordinate system. Charge q1 = +30 nC is at the origin, charge q2 = -25 nC is at (0.2, 0) mm, and charge q3 = +18 nC is at point (0.2, 0.3) mm. Find the magnitude and direction of the resultant force on q3.
b. Consider three identical metal spheres. Initially, Sphere A has a net charge of +3q, Sphere 2 has a net charge of -2q, and Sphere C has no net charge. Then, Sphere C made direct contact with Sphere A and separated. Afterward, Sphere C made direct contact with Sphere B and separated. What is the final charge on each of the three spheres?
c. Consider two charges on a coordinate system. Charge q1 = +15 μC is at the origin, and q2 = -12 μC is at (0.30, 0) cm. Find the net electric field at point P, which is located at (0.15, 0.40) cm.