Four identical metallic spheres with charges of +9.0 µC, +2.6 µC, -3.4 µC, and -7.2 µC are placed on a piece of paper. The paper is lifted on all corners so that the spheres come into contact with each other simultaneously. The paper is then flattened so that the metallic spheres become separated. (a) What is the resulting charge on each sphere? µC (b) How many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere? electrons are ---Select--- 0

Two positive charges each of charge q are fixed on the y-axis, one at  y = d  and the other at  y = −d  as in the figure shown below. A third positive charge 2q located on the x-axis at  x = 2d  is released from rest.     Three positive charges lie along the axes of an x y-coordinate plane. Charge q lies a distance d above the origin. Charge q lies a distance d below the origin. Charge 2q lies a distance 2d to the right of the origin. (a) Find a symbolic expression for the total electric potential due to the first two charges at the location of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) V =          (b) Find a symbolic expression for the electric potential energy of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) PE =  4keq2√5d​       (c) Find a symbolic expression for the kinetic energy of the charge 2q after it has moved…

Three point charges are arranged on the xy-plane. Charge Q3=4 µC is located on the x-axis at x=0.4 m. Charge Q₂=2 µC is located on the y-axis at y=-0.3 m. Charge Q₁=2 µC is located on the y-axis at y=0.3 m. What is the net force (magnitude and direction) on Q₁?

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.

A metallic sphere of radius 2.0 cm is charged with +5.0−μC charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of −5.0−μC is placed on the insideof the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?

Two identical, small insulating balls are suspended by separate 0.21-m threads that are attached to a common point on the ceiling. Each ball has a mass of 7.7 × 10-4 kg. Initially the balls are uncharged and hang straight down. They are then given identical positive charges and, as a result, spread apart with an angle of 50° between the threads. Determine (a) the charge on each ball and (b) the tension in the threads. A F₁

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge on the outer surface of the shell is: O-7C O -3 C O OC O +3 C O +7C

How many electrons must be removed from a neutral object to leave a net charge of Q2 = 2.1 μC?

When two identical conducting spheres are held in place and their center-to-center spacing is 42.5 cm, they attract each other with an electrostatic force of 0.019 N. A tiny conductive wire connects the spheres after that. The spheres repel each other with an electrostatic force of 0.0360 N when the wire is removed. With a positive net charge, what was (a) the negative charge on one and (b) the positive charge on the other of the original charges on the spheres?

Four identical metallic objects carry the following charges: +1.23, +6.89, -4.44, and -9.28 μC. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object? (a) Number i (b) Number IN Units Units