Assignment:
1. A charged particle (q=-0.8mC) 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 B=(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 10-27kg and charge=3.2x10-19C moves along the x axis in the positive direction with a speed of 4.8x105 m/s. 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 rriC 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 90°). 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= 3nC 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 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 +2r2. Calculate the electric field E(x,y).
10. A nonconducting sphere of radius 10 cm is charged uniformly with a charge density of 100 nC/m3. What is the magnitude of the potential difference between the center and a point 4 cm 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 1x106 V on an isolated metal sphere of radius I in?
12. To recharge a 12-V battery, a battery eharger must move 3.6 x 105 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?