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The diagram above shows a short section of an infinitely long thin wire that Lies on the axis of an infinitely long insulating cylindrical shell
The diagram above shows a short section of an infinitely long thin wire that Lies on the axis of an infinitely long insulating cylindrical shell of inner radius u. and outer radius b. The thin wire bears a positive linear charge density +TJl and the cylindrical shell bears a negative linear charge density 5A. The charges on both objects are uniformly distributed. The diagram also shows a dashed green cylinder of radius r and length Lthat represents a Gaussian surface. This Gaussian surface has three parts: the circle on the left end, the circle on the right end, and the curved cylindrical side. In addition. four points labelled y, x, y and z are located on this Gaussian surface. Points y and z are located on the circular ends. Point is is located at the top of the cylindrical surface and point y is on the front side of the cylindrical surface. Il 5. 1|nirite expressions for the amount of charge located inside Gaussian surfaces with each of the following radii. Your answers should be expressed in terms of A, 'r, o, l) and L. ti" st: l1 'Qf? Correct gen-closed =| | :1 c.\" T a\": b '' '8 Incorrect 1* :5 1'; 4?? Correct 6. Substitute your expressions for the electric flux, (I! and the enclosed charge Qmjgd into Gauss's Law and solve for the magnitude of the electric field at each of the following radii. Your answers should be expressed in terms of A, T, o, l} and the constant ED. E = T s': (I. Q55" Correct E = o c.\" 1|" t\" I} x The expression for the electric field depends on the variable A. E = r :3 b Q5? Correct
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