HW4soln - where an a particle (charge of +2 e ) would feel...

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Physics 21 Fall 2007 Solution to HW-4 (B) The total flux does not depend on the size of the cube. 22.2 A flat sheet is in the shape of a rectangle with sides of length 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude E that is directed at 20 degrees from the plane of the sheet. Find the magnitude of the electric flux through the sheet. 22.24 A point charge of charge - Q is located in the center of a spherical cavity or radius r inside an insulating spherical charged solid. The charge density in the solid is ρ . (A) Calculate the magnitude of the electric field inside the solid at a distance d > r from the center of the cavity. (B) Find the direction of the electric field at the distance d inside the solid. 22.36 A long line carrying a uniform linear charge density λ runs parallel to and d = 10.0 cm from the surface of a large flat plastic sheet that has a uniform surface charge density of σ (negative charge) on one side. Find the location of all points
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Unformatted text preview: where an a particle (charge of +2 e ) would feel no force due to this arrangement of charged objects. There are two possible points, above the line and below the plane. Between the line and plane is not possible 22.44 A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q at its center. The total charge on the shell is -3 Q , and it is insulated from its surroundings. Find E ( r ) for (A) r < a , (B) a < r < b and (C) r > b . Find (D) on the inner surface at a and (E) on the outer surface at b . Flux out of a Cube A point charge of magnitude Q is at the center of a cube with sides of length L . (A) What is the electric flux through each of the six faces of the cube? (B) What if L changes? (A) NB : This problem involves an insulator, which can have a uniform volume charge density. Compare problem 22.44, which involves a conductor, inside of which E = 0. d A 70 o NB: The angle between d A and E is 70 o . E...
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