Problem Set 3

# Problem Set 3 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Turn in at your table labeled with your name and group (e.g. L01 6B) Problem Set 3 Due: Wednesday, September 26 at class beginning (before 10:15/12:15) Warm Up Problem 1: Charges on a Square Three identical charges + Q are placed on the corners of a square of side a , as shown in the figure. (a) What is the electric field at the fourth corner (the one missing a charge) due to the first three charges? (b) What is the electric potential at that corner? (c) How much work does it take to bring another charge + Q from infinity to that corner? (d) How much energy did it take to assemble the pictured configuration of three charges? Problem 2: Electric Potential Suppose an electrostatic potential has a maximum at point P and a minimum at point M. (a) Are either (or both) of these points equilibrium points for a negative charge? If so are they stable? (b) Are either (or both) of these points equilibrium points for a positive charge? If so are they stable? 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 −+ < < =− < < => Where V 0 is a constant of appropriate units. This function is plotted to the right. (a) What is the electric field ( ) r E G for this problem? Give your answer analytically for the three regions above and also plot the magnitude.
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Problem Set 3 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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