1. A charged particle (q = -0.8 mC) moves in a region where the only force acting on the particle is an electric force. If the particle is released from rest in point A and reaches point B with a kinetic energy of 4.8 J. What is the electric potential difference VB-VA?
2. Points A=(2,3)m and 173=(5,7)m are in a region where the electric field is uniform and given by E(4i + 3j) N/C. What is the potential difference VB-VA between these two points?
3. A particle of mass = 6.7x 10-27 kg and charge = 3.2 x 10-19 C moves along the x axis in the positive direction with a speed of 4.8x105 mis. It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field. What is the magnitude of the electric field?
4. Consider a 2 mC charge at the origin of coordinates, how much work is necessary to bring a 3mC charge from. infinity to a poilikt with coordinates (3,4). Is the work done by the external agent positive or negative?
5. Consider a 2 mC charge at the origin of coordinates, what is the potential difference between A=(0,2) and B=(0,3)
6. Point charges q and Q are positioned as shown in the figure (the angles are 90o). If q = +2nC and Q = -2nC, a=3m and b=4m, what is the electric potential difference, VB-VA? What would this potential difference be if Q where positive?
7. Consider three charges q1 = 2nC located at the origin of coordinates, q2 =-1nC with coordinates (3,0), and q3 = 3ne with coordinates (0,4). Calculate the total potential energy of this system. How much energy would be necessary to assemble this system by bringing one charge at a time from infinity?
8. If the distance between the two plates in the figure is 0.5 m and the I electric field is 20N/C, calculate the potential difference between the plates. Is the top plate at higher or a lower electrical potential L than the one at the bottom?
9. Consider the electric potential on a particular re4on is given by V(x, y)=3x +2y2 Calculate the electric field E(x,y).
10. A nonconducting sphere of radius 10 cm is charged uniformly with a charge density of 100 11(1m'. What is the magnitude of the potential difference between the center and a point 4 can away from the center? What is the potential difference between the center and another point 15 cm away?
11_ How much electrical charge is needed to establish and electrostatic potential of 1x106V on an isolated metal sphere of radius I in?
12. To recharge a 12-V battery, a battery eharger must move 3 .6x105 C of charge from the negative to the positive terminal. What amount of work is done by the battery charger? How many kilowatt hours is this?
