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assignment04 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Physics Physics 8.022 - Fall 2002 Assignment #4 Conductors, Capacitance Current, Resistance, Ohm's Law Reading Purcell Chapter 3 and 4. Problem Set #4 Work on all problems. Not all problems receive equal points. Total points for this set is 100. z (20 points) [1] Energy of a conductor in a capacitor. Two flat square metal plates with sides of length L are arranged parallel to each other with a separation of S where S << L . This assumption allows you to neglect the fringing effects due to the uncharged, conducting plate of the finite size of the plates. A charge +Q is moved from the top plate to the bottom. A third, same size with thickness is slid between the other two to a depth of x , maintaining the same spacing of { What are the surface charge densities between its surface and that of the other two. and on the lower plate adjacent to the wide and narrow gaps? { What is the electric field in the wide and narrow gaps?
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