In the two configurations below, a thick conducting plate lies between two other parallel conducting plates. The plates all have a surface area A. In the configuration on the left, a constant voltage Vo is applied to the top plate relative to the bottom plate, with the middle conductor floating. In the configuration on the right, the middle conductor is held at a constant potential with the outer plates grounded. For each case, find the total capacitance between the voltage terminal and ground in terms of the variables given. Neglect edge effects (i.e. use the parallel-plate capacitance formula). It may help to sketch the induced charges in each problem. Conducting plate of area A O +Vo Neutral conductor t Conducting plate of area A +Vo H|₁ t h d

Introductory Circuit Analysis (13th Edition)
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In the two configurations below, a thick conducting plate lies between two other parallel
conducting plates. The plates all have a surface area A. In the configuration on the left,
a constant voltage Vo is applied to the top plate relative to the bottom plate, with the middle
conductor floating. In the configuration on the right, the middle conductor is held at a
constant potential with the outer plates grounded. For each case, find the total capacitance
between the voltage terminal and ground in terms of the variables given. Neglect edge
effects (i.e. use the parallel-plate capacitance formula). It may help to sketch the induced
charges in each problem.
Conducting
plate of area A
d
9 +Vo
Neutral conductor
Conducting
plate of area A
+Vo
o
h
Transcribed Image Text:In the two configurations below, a thick conducting plate lies between two other parallel conducting plates. The plates all have a surface area A. In the configuration on the left, a constant voltage Vo is applied to the top plate relative to the bottom plate, with the middle conductor floating. In the configuration on the right, the middle conductor is held at a constant potential with the outer plates grounded. For each case, find the total capacitance between the voltage terminal and ground in terms of the variables given. Neglect edge effects (i.e. use the parallel-plate capacitance formula). It may help to sketch the induced charges in each problem. Conducting plate of area A d 9 +Vo Neutral conductor Conducting plate of area A +Vo o h
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