Four identical metallic spheres with charges of +9.0 µC, +1.0 µC, −2.6 µC, and −7.6 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 absent or in excess?

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.0897 N when their center-to-center separation is 39.1 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0450 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number i -.69e-6 (b) Number i 2.21e-6 Units Units с с

Problem 10: Four point charges are arranged at the corners of a square as shown. The square has sides d = 1.95 meters. Starting at the top left corner and working around clockwise, the charges at the corners are Q1 = Q. Q2 = 20. Q3 = 3Q. Q4 = 4Q, where Q = 1.9 µC. Part (a) What is the magnitude (in Newtons) of the net electric force exerted on Q,? Q1 Q2 F1 = y Part (b) What is the direction (in degrees) of the net electric force exerted on Q,? d 01 = Part (c) What is the magnitude (in Newtons) of the net electric force exerted on Q2? F2 = Q4 Q3 d

A thin, semi-infinite wire with a constant linear charge density λ extends from −∞ < x ≤ 0. A point charge q is placed at a position x = a with a > 0. Find an expression for the magnitude of the force on q from the wire.

A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C . What is the charge on the inner and outer surface of the shell?

Two identical, small insulating balls are suspended by separate 0.20-m threads that are attached to a common point on the ceiling. Each ball has a mass of 7.2 x 104 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) Number i Units (b) Number i Units Type here to search 88°F DELL F1 F10 F11 F12 PrtScr Insert F2 F3 F4 F5 F6 F7 F8 F9

Two positive charges q1 = q2 = 2.0 μC are located at x = 0, y = 0.30 m and x = 0, y = -0.30 m, respectively. Third point charge Q = 4.0 μC is located at x = 0.40 m, y = 0.What is the net force ((a)magnitude and (b)direction) on charge q1 exerted by the other two charges?

A thin charged rod has a linear charge density of λ = 8.00 nC/m. How much charge is on a piece of the rod 1.40 cm long? 0.112 nC 11.2 nC 0.175 nC 572 nC

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.

Three charges, q1, q2, q3 are arranged in an equilateral triangle formation with edge length 1 m. If q1 = 2 x 10^-9 C, q2 = 4 x 10^-9 C, q3 = - 6*10^-9 C, what is the total strength of the electric field value at the center of the triangle?