A proton (mass = 1.67 1027 kg, charge = 1.60 1019 C) moves from point A to point B under the influence of an electrostatic force only. At point A the proton moves with a speed of 60 km/s. At point B the speed of the proton is 80 km/s. Determine the potential difference VB VA.
a. +15 V
b. 15 V
c. 33 V
d. +33 V
e. 20 V
[Ques. 2] A proton (mass = 1.67 1027 kg, charge = 1.60 1019 C) moves from point A to point B under the influence of an electrostatic force only. At point A the proton moves with a speed of 50 km/s. At point B the speed of the proton is 80 km/s. Determine the potential difference VB VA.
a. +20 V
b. 20 V
c. 27 V
d. +27 V
e. 40 V
[Ques. 3] A particle (mass = 6.7 1027 kg, charge = 3.2 1019 C) moves along the positive x axis with a speed of 4.8 105 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?
a. 2.0 kN/C
b. 1.5 kN/C
c. 1.2 kN/C
d. 3.5 kN/C
e. 2.4 kN/C
[Ques. 4] A particle (charge = +2.0 mC) moving in a region where only electric forces act on it has a kinetic energy of 5.0 J at point A. The particle subsequently passes through point B which has an electric potential of +1.5 kV relative to point A. Determine the kinetic energy of the particle as it moves through point B.
a. 3.0 J
b. 2.0 J
c. 5.0 J
d. 8.0 J
e. 10.0 J
[Ques. 5] A particle (charge = 50 C) moves in a region where the only force on it is an electric force. As the particle moves 25 cm from point A to point B, its kinetic energy increases by 1.5 mJ. Determine the electric potential difference, VB VA.
a. 50 V
b. 40 V
c. 30 V
d. 60 V
e. +15 V
[Ques. 6] A charged particle (q = 8.0 mC), which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference VB VA?
a. 0.60 kV
b. +0.60 kV
c. +0.80 kV
d. 0.80 kV
e. +0.48 kV
[Ques. 7] A 200-volt battery is connected to a 0.50-microfarad parallel-plate, air-filled capacitor. Now the battery is disconnected, with care taken not to discharge the plates. Some Pyrex glass is then inserted between the plates, completely filling up the space. What is the final potential difference between the plates? (The dielectric constant for Pyrex is = 5.6.)
[Ques. 8] An electron is released from rest at the negative plate of a parallel plate capacitor. If the distance between the plates is 5 mm and the potential difference across the plates is 5 V, with what velocity does the electron hit the positive plate? (me = 9.1 1031 kg, qe = 1.6 1019 C.)
[Ques. 9] Regarding the Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance if the cloud layer has an area of 1.0 km2 . If an electric field of 2.0 106 N/C makes the air break down and conduct electricity (lightning), what is the maximum charge the cloud can hold?
[Ques. 10] Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?
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