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 Kj and K, are interchanged? Demonstrate that your expression does or does not have this ronert (c) Show that if K and

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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 Kj 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= ke,LW/t.
W
L
t K1
K2
Transcribed Image Text: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 Kj 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= ke,LW/t. W L t K1 K2
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