Electrostatics Homework

1. A negative charge of -6.0 10-6 C exerts an attractive force of 53 N on a second charge 0.054 m away. What is the magnitude of the second charge? C 2. In the figure below, qA = 6.0 µC, qB = 3.1 µC, qC = 1.4 µC, dAB = 4.00 cm, and dAC = 3.00 cm. Determine the magnitude and direction of the net force on qA. N ° (counterclockwise from the +x axis)

3. A strong lightning bolt transfers about 39 C to Earth. How many electrons are transferred?

4. A force of 4.90 102 N exists between a positive charge of 7.60 10-5 C and a negative charge of -3.00 10-5 C. What distance separates the charges? m 5. A positive charge of q = 2.0 µC is pulled on by two negative charges. As shown below, one, −2.0 µC, is 0.050 m to the north and the other, −4.0 µC, is d = 0.025 m to the south. What total force is exerted on the positive charge? N north east south west

6. Two identical positive charges exert a repulsive force of 6.2 10-9 N when separated by a distance of 4.6 10-10 m. Calculate the charge of each. C 7. Three charged spheres are located at the positions shown in the figure below. Find the total force on sphere B. (qB = -8.9 µC, and qC = +9.0 µC.) Magnitude N Direction ° (counterclockwise from the +x axis)

8. What work is done when 4.5 C is moved through an electric potential difference of 1.7 V? J 9. A positive test charge of 8.4 10-5 C is placed in an electric field of 45.0 N/C intensity. What is the strength of the force exerted on the test charge? N

10. If 140 J of work is performed to move one coulomb of charge from the positive plate to the negative plate shown below, what potential difference exists between the plates? V 11. The electric field intensity between two charged plates is 1.3 103 N/C. The plates are 0.090 m apart. What is the electric potential difference, in volts, between the plates? V 12. A force of 0.053 N is required to move a charge of q = 37 µC a distance of d = 20 cm in a uniform electric field. What is the size of the electric potential difference between the two points? V