fa02em - PHY6938 Prociency Exam Fall 2002 E&M 1 A positive...

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PHY6938 Proficiency Exam Fall 2002 September 13, 2002 E & M 1. A positive charge is uniformly distributed throughout a very long cylindrical volume of radius R . The charge per unit volume is ρ . (a) Find the electric field ~ E everywhere as a function of the distance r from the axis of the cylinder. (b) Find the electric potential V everywhere as a function of r . Define V = 0 at the surface of the cylinder. (c) Sketch E and V as function of r , from r = 0 to r = 3 R , showing the values of each at r = 0, R , and 3 R . 2. Two small spheres of mass m are suspended from a common point by threads of length
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