2 C of charge are placed on a spherical conducting shell. A particle with a charge of 1 C is placed at the center of the cavity. Find the net charge on the outer surface of the shell. Express your answers in units of C with no decimal place. Do not forget a minus sign if your answer is negative.

Their are a total of 3 infinitely thin concentric shells. The innermost shell has a radius of R. Another of the shells has a radius of 2R. The third shell has a radius of 3R. The charge for each shell is +2Q.  Draw a graph of E vs r (where E is on the y axis). Given that E is in units of (kxQ/(a^2)), on the graph make sure to show the values of E(3R), E(2R), and E(R). Show all work

A charged nonconducting rod, with a length L and a cross-sectional area A, lies along the positive side of an x axis with one end at the origin. The volume charge density p is charge per unit volume. Express your answer in terms of the given variables using e to represent the elementary charge. (a) How many excess electrons are on the rod if p is uniform? na = (b) How many excess electrons are on the rod if p is nonuniform, with a value given by p=bx^2, where b is a constant with the appropriate units? nb =

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.20 µC, q2 = 1.01 µC, and  q3 = −2.14 µC.  Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble. What is the electric field due to each individual marble? How do you find the total or "net" electric field when you have several electric fields?  Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of −3.62 µC, calculate magnitude and direction of the force on it.