A charged particle is held at the center of two concentric conducting spherical shells. Figure (a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 2.5×105 N⋅m2/C. What are (a) the charge of the central particle and the net charges of (b) shell A and (c) shell B? (a) (b)
A nonconducting spherical shell, with an inner radius of 4.2 cm and an outer radius of 7.6 cm, has charge spread nonuniformly through its volume between its inner and outer surfaces. The volume charge density ρ is the charge per unit volume, with the unit coulomb per cubic meter. For this shell ρ = b/r, where r is the distance in meters from the center of the shell and b = 5.7 μC/m2. What is the net charge in the shell?
Suppose you are rotating a mass 11.7 kg on one side of a string that is balanced by a second mass on the other end of the string 17.7 kg as shown in the picture. Assuming that the rotating mass undergoes horizontal circular motion with radius 1 m, where the centripetal force on the rotating mass is provided by the weight of the hanging mass. What is the linear (or translational) speed of the 11.7 kg mass if the length of the string is reduced by half. Give your answer in units of meters per second, however do not include any units in your answer. Type in only a numerical answer (do not include the "m/s"). Otherwise, your answer will be counted as incorrect.