a. Consider two infinite sheets parallel to the xy plane, separated by distance d, carrying charge densities +? and -?. Solve for and sketch the potential as a function of z.
b. Consider two disks of radius R parallel to the xy plane, centered on the z axis and separated by distance d, carrying charge densities +? and -?. (In a real capacitor, the charge density will not be strictly uniform, but we will continue to ignore that for the purposes of this problem.) Solve for and sketch the potential as a function of z along the axis of symmetry.
c. Compare the electric force on the charges in the top plate toward the bottom plate and away from the bottom plate. That is, compute the ratio of these magnitudes.
d. Suppose you connect the two plates of a charged capacitor by a conducting wire. Why does charge flow through the wire?
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