A parallel-plate capacitor with plates of area LW and plate separation t has the region between its plates filled with wedges of two dielectric materials as shown in Figure P26.76. Assume t is much less than both L and W. (a) Determine its capacitance. (b) Should the capacitance be the same if the labels k1 and k2 are interchanged? Demonstrate that your expression does or does not have this property. (c) Show that if k1 and k2 approach equality to a common value k, your result becomes the same as the capacitance of a capacitor containing a single dielectric: C 5 kP0LW/t.
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A parallel-plate capacitor with plates of area LW and plate separation t has the region between its plates filled with wedges of two dielectric materials as shown in Figure P26.76. Assume t is much less than both L and W. (a) Determine its capacitance. (b) Should the capacitance be the same if the labels k1 and k2 are interchanged? Demonstrate that your expression does or does not have this property. (c) Show that if k1 and k2 approach equality to a common value k, your result becomes the same as the capacitance of a capacitor containing a single dielectric: C 5 kP0LW/t.
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