What is the Capacitance of a Capacitor with Two Different Dielectrics?

AI Thread Summary
The discussion focuses on calculating the capacitance of a capacitor with two different dielectrics, where the upper half has a dielectric constant of 4.61 and the lower half has a constant of 6.9. The formulas used include calculating the capacitance for each section separately and then summing them for the total capacitance. The calculations provided yield a total capacitance of approximately 2.935057735 nF. However, there are questions regarding the specifics of the plate size and orientation, which are crucial for accurate calculations. Clarifying these parameters is essential for confirming the correctness of the capacitance value.
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Homework Statement


A capacitor is constructed from two square
metal plates. A dielectric \kappa = 4.61 fills the
upper half of the capacitor and a dielectric
\kappa = 6.9 fills the lower half of the capacitor.
Neglect edge effects. Calculate the capacitance C of the device.
Answer in units of pF


Homework Equations


C_{TOP} = \kappa\epsilonA/d
C_{bottom} = \kappa\epsilonA/d
C_{total} = C_{TOP} + C_{BOTTOM}

The Attempt at a Solution


C_{TOP} = \kappa\epsilonA/d
= 4.61(8.85419*10^{-12})(.12^{2})/0.0005
= 1.175553098*10^{-9}
C_{bottom} = 6.9(8.85419*10^{-12})(.12^{2})/0.0005
= 1.759504637*10^{-9}
C_{total} = 2.935057735*10^{-9}
Is this correct?
 
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DrunkApple said:

Homework Statement


A capacitor is constructed from two square
metal plates. A dielectric \kappa = 4.61 fills the
upper half of the capacitor and a dielectric
\kappa = 6.9 fills the lower half of the capacitor.
Neglect edge effects. Calculate the capacitance C of the device.
Answer in units of pF
Ummm. Plate size? Plate separation? Are the plates oriented vertically or horizontally?
 
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