# DQ4B_solution - Discussion Question 4B P212 Week 4 Electric Potential in a System with Cylindrical Symmetry Consider a non-conducting cylinder of

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Discussion Question 4B P212, Week 4 Electric Potential in a System with Cylindrical Symmetry Consider a non-conducting cylinder of infinite length and radius a , which carries a volume charge density ρ . Surrounding this object is an uncharged conducting cylindrical shell. The metal tube is also of infinite length, and its inner and outer radii are b 1 and b 2 respectively. In this problem, we will define the potential to be zero at the outer surface of the conducting shell. (a) What is the electric potential at a radius of 10 cm from the center of the cylinders? (i) In all of these potential problems, we have to integrate the electric field from a point where we know the potential to the point we are interested in. In this problem, we want the potential at a point 10 cm from the axis of symmetry . .. let's call this point 'A'. Now, where do we know the potential? Write down an expression for V A (the quantity we want) in terms of a potential we know and an integral over the electric field.

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## This note was uploaded on 06/16/2011 for the course PHYS 212 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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DQ4B_solution - Discussion Question 4B P212 Week 4 Electric Potential in a System with Cylindrical Symmetry Consider a non-conducting cylinder of

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