Capacitor Problem
Gauss Law
Electric Potential Energy
Electric Potential
Insulators and Conductors
100
Two large plates of a conducting material are parallel to each other, and very close. The distance between them is 1 mm. The potential difference between them is 2 V, and they carry equal but opposite surface charge densities. The magnitude of the surface charge density on each plate is
18 nC/m2
100
The electric fields E 1 with magnitude 6000 N/C and E 2 with magnitude 5000 N/C, enter and leave the cylindrical surface of the figure below, respectively. No other fields enter or leave this surface. The net charge enclosed in this surface is
-0.28 nC.
100
A proton and an electron are initially pinned down, 9.0 cm from each other. The proton is held in place, while the electron is released and allowed to speed up towards the proton. The speed of the electron when it gets 3.0 cm away from the proton will be (m el = 9.11 x 10-31 kg)
106 m/s
100
It takes 48 J of work to bring two small charged objects to locations (x1 = 1.0 mm, y1 = 1.0 mm), and (x2 = 1.0 mm, y2 = 3.0), from their initial location far away from each other. The charge of one of the objects is +27 μC . The magnitude of the charge on the other is
0.4 μC
100
An insulating material is used to fabricate a spherical shell. The inner radius is r 1 = 15 cm. The outer radius is r 2= 20 cm. A charge Q = 20 μC is then distributed uniformly throughout the shell. The magnitude of the electric field at a distance r = 17 cm from the center of the shell is
2.07 × 10^6 N/C
200
Two large and plane sheets (1 and 2) of an insulating material are placed parallel to each other and very close. Sheet 1 carries a surface charge density of +5.00 µC/m2. Halfway between the 2 sheets, the electric field is 4.25 × 105 N/C, and it points towards sheet 2. What is the surface charge density on sheet 2?
-2.52 μC/m^2
200
The maximum flux that an electric field impinges on a square area is when the field is perpendicular to the area. In order to reduced the flux to one-half of its maximum values, the square needs to be rotated with respect to the field by an angle equal to
60°
200
Two point charges of +1.0 μC and -2.0 μC are located along the x-axis. The +1.0 μC charge is located at x = -0.25 m, and the -2.0 μC charge is at x = 0.25 m. In order to double the distance between them, what is the minimum amount of work required?
+18 mJ
200
Three point charges are located on the x-axis. The first one is +2.0 μC and it is located at x = -1.0 cm. The second one is -6.0 μC and it is located at x = +2.0 cm. Where should a third charge of +3.0-μC be so that the potential at the origin is equal to zero?
x = 3.0 cm
200
Two spherical shells built from a conducting material are assembled concentrically. The smaller shell has inner and outer radii of 1.8 and 2.0 m, respectively. The outer shell has inner and outer radii of 2.8 and 3.0 m, respectively. The electric field at a point P, 4.1 m away from the center of the shells, has a magnitude of 49,000 N/C and it points outwards. The inner shell was found to have an excess charge of -5.30 μC. How much charge is on the outer surface of the larger shell?
91.6 μC