1) a cube of insulating material has one corner at…


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20.50

1) a cube of insulating material has one corner at the origin. Each side of the cube has length 0.080 m, so the top face of the cube is parallel to the xz-plane and is at y = 0.08 m. It is observed that there is an electric field E = (3280 N/C · m)y j, that is in the +y direction and whose magnitude depends only on y. Use Gauss’s law to calculate the net charge enclosed by the cube. 2)Two concentric spheres. The inner sphere is a solid nonconductor and carries a charge of +5.00 μC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 μC. No other charges are present. The radii shown in the figure have the values R1 = 10.0 cm, R2 = 20.0 cm, and R3 = 30.0 cm. (a) Find the total excess charge on the inner and outer surfaces of the conducting sphere. (b) Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i) r = 9.5 cm, (ii) r = 15.0 cm, (iii) r = 27.0 cm, (iv) r = 35.0 cm. 3)A charge Q is uniformly distributed throughout a nonconducting sphere of radius R. (a) What is the magnitude of the electric field at a distance R/2 from the center of the sphere? (b) What is the magnitude of the electric field at a distance 2R from the center of the sphere? 4)A long straight line of charge has a uniform positive charge per unit length ô€Ž. The line is partially enclosed in a long rectangular box of length L and ends of area A, the line running through the center of each end. The electric flux through the surface of the box is

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20.50