A parallel-plate capacitor with plates of area LW andplate separation t has the region between its platesfilled with wedges of two dielectric materials as shownin Figure P26.76. Assume t is much less than both Land W. (a) Determine its capacitance. (b) Should thecapacitance be the same if the labels K¡ and K2 areinterchanged? Demonstrate that your expression doesor does not have this property. (c) Show that if Kj andK2 approach equality to a common value K, your resultbecomes the same as the capacitance of a capacitorcontaining a single dielectric: C = ke,LW/t.WLK1K2

Given : A parallel plate capacitor with area LW and separation t. t<<L and W

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

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

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter16: Electrical Energy And Capacitance

Section: Chapter Questions

Problem 56P: A parallel-plate capacitor has plates of area A = 7.00 102 m2 separated by distance d = 2.00 104...

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Question

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 K¡ 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
K1
K2

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