1 2 An initially uncharged parallel plate capacitor consists of two circular pla
ID: 2103644 • Letter: 1
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An initially uncharged parallel plate capacitor consists of two circular plates (L & R) of radius "b" separated by distance h ( b). The capacitor is being charged by constant electric current I through two long cylindrical wires of radius "a" and resistivity r, as shown. The current is uniformly distributed over the cross section of each wire. These wires extend far to the left and right. Use Gauss' Law to derive the expression E = q/iota0 pi b2 for the electric field between the capacitor plates in terms of the magnitude q of the charge on each of them. Be sure your reasoning is clear. Draw and label any geometric constructions you use in the space below. On this magnified view of the right wire as seen from the right end of the diagram on the previous page, draw magnetic field lines for the magnetic field outside and inside the wire. Which diagram below best shows the magnetic forces acting on the electric current carriers inside this wire? A) None of the electric current carriers in this wire experience a magnetic force. For the imaginary circular Path of variable radius r surrounding the left wire coming into the capacitor, draw graphs below showing how each of the specified quantities depends on distance r from the central axis of the wire. For a similar imaginary circular Path of variable radius r surrounding or in the gap between the capacitor plates, draw graphs below showing how each of the specified quantities depends on distance r from the wire's axis. Be sure your graphs are drawn to scale with those for the Path in (d).Explanation / Answer
b)
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