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ps03

# ps03 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2008 Label with your name, table number and group. Turn in at the homework box. Problem Set 3 Due: Thursday, September 25 at 12 pm Warm Up Problem 1: Closed Surfaces Four closed surfaces, S 1 through S 4 , together with the charges – 2 Q , Q , and – Q are sketched in the figure at right. The colored lines are the intersections of the surfaces with the page. Find the electric flux through each surface. Problem 2: Gauss’s Law – Cylinder Consider a cylinder of radius R and linear charge density λ . (a) What is the electric field outside the cylinder as a function of distance r from its axis? (b) What is the electric potential difference between a point on its surface and a point a distance r > R from its central axis? PS03-1

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Exam Problem Problem 3: A potential for finding charge The electric potential V(r) for a distribution of charge with spherical symmetry is: 2 0 0 2 00 Region I: ( )= for 0 2 Region II: ( ) for 2 2 R egion III: ( ) 0 for 2 Vr V r R R VR V R r R r r R −+ < <
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ps03 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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