Circuit and Shielding Problems

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conquerer7
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Two tricky MC problems from Halliday/Resnick:

1. A point charge is placed inside an uncharged spherical conducting shell, somewhat off center. However, the charge distribution on the outer surface of the shell is uniform. Why?

2. What is the minimum number of resistors necessary to make a circuit that cannot be split into parallel or series components?
 
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