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Question 12 (F): There is a capacitor made with two circular parallel plates, as shown in Figure 6 (left). The plates are of radius R, and the distance between them is d, where d << R (the distance between the plates is greatly exaggerated in the figure). Outside of the region between the plates, you may assume the electric field is identically zero (e.g., d«<R). You may assume that between the plates the electric field is uniform. a) What is Ē between the plates of the capacitor? Note to answer this question, you have to use Gauss's Law, even if you just state from memory "the electric field is..." b) What is B between the plates? c) What is Ý x B between the plates? d) Show that the displacement current between the plates is equal to the current in the wire. e) Show that the current coming off the right-hand plate is the same as that coming onto the left-hand plate. X ob -Alla E Auperian Loop 6: Left) Parallel plate capacitor with circular plates and greatly exaggerated gap: Right) Two Am- surfaces, highlighting the difficulty with the static version of Ampere's Law. Figure 7: Left) Two infinitely conductive cylinders with the region between them filled with a conductor with finite conductivity.