# Takehome1 - Quiz #1 2049 H ...

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Unformatted text preview: Quiz #1 2049 H  You should use extra scratch paper: show all your work: staple all the answers  together.    Due Feb 17th    Problem 1:    Calculate the electric field of a charge distribution as depicted below.  Magnitude of  all charges are q, but the signs differ.  You may assume r>>d.                                                                           Problem 2  a) Consider a sphere filled with uniform  charge density, ρ, except for an internal  sphere which is empty.   Let a be the vector  from the center of the sphere to the center of  the bubble.  Calculate the vector electric field  within the bubble and show that it is  constant.  (Hint: An empty bubble is  equivalent to overlapping sphere of equal  but opposite charge.)              (b) What is the surface charge distribution on a metal sphere of radius R which is in  a constant external field E in the z direction?                                                         Problem 3  You have an infinite lattice of resistors, all of the same resistance, R, as illustrated  below. What is the resistance between point A and B?    ...
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