A metal block containing a cavity and car- rying a net charge -Q is located near a pos- itive charge +q as shown in the figure. In static equilibrium, can there be any charges on the inner surface C of the cavity?
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- Two small spheres each have a mass m of 0.700 g and are suspended as pendulums by light insulating strings from a common point, as shown in the figure below. The spheres are given the same electric charge, and the two come to equilibrium when each string is at an angle of 0= 6.00%; with the vertical. m OK 410 m 1) If each string is 1.00 m long, what is the magnitude of the charge on each sphere? (Express your answer to three significant figures.) x 10-⁹ C(10% ) Problem 7: An infinite conducting cylindrical shell of outer radius ri-0.10 m and inner radius r2 0.08 m initially carries a surface charge density 0.15 μC/m2 A thin wire with linear charge density 1.3 μC m s nserted along the shells' axis. The shell and the wire do not touch and these is no charge exchanged between them Banchi, Stephen - banchis3@students.rowan.edu @ theexpertta.com - tracking id: 2N74-2F-82-4A-BAAB-13083. In accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. -a33% Part (a) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? -là 33% Part (b) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? 33% Part (c) Enter an expression for the magnitude of the electric field outside the cylinder (r…There are 3 thin conductive infinitly thin spherical shells with a charge on each shell of +2Q. The innermost shell has a radius of R. Another of the shells has a radius of 2R. The outermost shell has a radius of 3R. Draw a graph of E vs R. Make sure to show the values of E(3R), E(2R), and E(R). Note: (put R on the x axis)
- A net charge is placed on a hollow conducting sphere. How does the net charge distribute itself?Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…aneli 王+ ++ ++d m A flat slab of nonconducting material has thickness 2d, which is small compared to Lar its height and breadth. As shown in the figure, the x axis is defined to be along the drection of the slab's thickness with the origin at the center of the slab. This slab region the charge density p(x) = -Po in carries volume a -dsx<0 and p(x) = +P, in the region 0A(n) 5.60-g sphere with net charge q is suspended directly above a fixed 7.80 C point charge at 2.35 cm of distance. How many excess electrons does the sphere of charge q have?A solid conductor with an inner cavity, as shown in the diagram below, has a point charge -Q, inside the cavity. An external charge of +4Q is placed on the surface of the conductor. What is the final charge on the conducting surface after electrostatic equilibrium is attained? -Q +2Q -3Q -2Q +3QA conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.A negative point charge q with a uniform electric field is subject to a force that is exerted on it in the -y direction as shown. What would be the direction of the electric field?The figure above shows a hollow cavity within a neutral conductor of cross sectonal area 7.00 cm2 with a point charge of Q = +5.30 nC inside. What is the net charge on the inside surface of the conductor? -5.30 nC. 5.30 nC. Conductor is neutral throughout.