The plates of parallel-plate capacitor have surface area A and separation distan

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The plates of parallel-plate capacitor have surface area A and separation distance d, shown at left the capacitor (c0 = t0 A/d) is connected to a battery and is charged completely to change Q After the capacitor is disconnected from the battery, the plates are separated a bit so that neutral conducting slab can be inserted between them to create a three -plate capacitor as shown in the lower figure the surface area of the stab is also A and the thickness of the slab is h. Once the slab is inserted electrons in the slab quickly arrange themselves so that E = 0 inside the slab. on the lower figure ,sketch and label the equilibrium charge distribution for the slab Calculate C the capacitance of the three-plate capacitor. Do this by first integrating to find v, the potential difference between the uppermost and lowermost plates on the capacitor. calculate C for two parallel plate capacitor (each with area A and separation d) that are connected in series with one another computer C to your answer C from part (b).

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