General Physics 2 PROBLEM SET 3: ELECTRIC POTENTIAL AND POTENTIAL ENERGY INSTRUCTIONS Copy and answer the following problems neatly on a separate sheets of business pad paper. Show your complete solutions and box your final answer. 1. A point charge q, is held stationary at the origin. A second charge g, is placed at point a, and the electric potential energy of the pair of charges is +5.4 X 108 ]. When the second charge is moved to point b, the electric force on the charge does 1.9 X 10~2 ] of work. What is the electric potential energy of the pair of charges when the second charge is at point b? 2. A point charge q; = +2.40 uC is held stationary at the origin. A second point charge g, = 4.30 uC moves from the point x = 0.150 m, y = 0 m to the point x = 0.250 m, y = 0.250 m. How much work is done by the electric force on q,? 3. Two stationary point charges +3.00 nC and +2.00 nC are separated by a distance of 50.0 cm. An electron is released from rest at a point midway between the two charges and moves along the line connecting the two charges. What is the speed of the electron when it is 10.0 cm from the +3.00 nC charge? 4. A certain distance from a point charge, the potential and electric-field magnitude due to that charge are 4.98 V and 16.2 V/m, respectively. (Take V = 0 at infinity.) (a) What is the distance to the point charge? (b) What is the magnitude of the charge? (c) Is the electric field directed toward or away from the point charge? 5. A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with a radius of 24.0 cm. If the potential is zero at a point at infinity, find the value of the potential at the following distances from the center of the sphere: (a) 48.0 cm; (b) 24.0 cm; () 12.0 cm. 6. The electric field at the surface of a charged, solid, copper sphere with radius 0.200 m is 3800 N/C, directed toward the center of the sphere. What is the potential at the center of the sphere, if we take the potential to be zero infinitely far from the sphere