The plates of a parallel-plate capacitor are separated by

Chapter , Problem 81

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The plates of a parallel-plate capacitor are separated by distance and each plate has area Ametal slab of thickness and area is inserted between the plates in such a way that the slab is parallel with the capacitor plates. (a) Show that the new capacitance is given by regardless of the distance between the metal slab and the positively charged plate. (b) Show that this arrangement can be modeled as a capacitor that has plate separation in series with a capacitor of plate separation where a _ b _ d _ d0 b, .

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