Confused on this dielectric capacitance problem

AI Thread Summary
The discussion revolves around calculating the capacitance and area of a paper-separated capacitor with a dielectric constant of 3.75. The electric field is given as 9.41E4 V/m, and the distance between plates is 1.75 mm, leading to a calculated voltage of 164.675 V. There is confusion regarding the application of the capacitance formula C=Q/V in the context of dielectrics, with some participants suggesting that it is still valid. The relationship E = Q/(ε₀A) is also mentioned as a potential method to find the area, but participants express difficulty in applying it effectively. Ultimately, clarity is sought on how to proceed with the calculations given the dielectric material.
supermenscher
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The electric field between the plates of a paper-separated (K=3.75) capacitor is 9.41E4 V/m. The plates are 1.75mm apart and the charge on each plate is 0.775E-6C. Determine the capacitance of the capacitor and the area of each plate?

I got the voltage by V=Ed. and that came out to 164.675

Where do i go from there because in order to get capacitance you need to know area, and finding the area of each plate is also a question in the problem. I thought about using C=Q/V, but that doesn't apply for dielectrics. Can someone helpme out?
 
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I think you should be able to use the fact that E = \frac{Q}{\epsilon_0A}. This gives you an equation for the area which you can use to determine the capacitance.
 
I tried that and that did not work out either, do you have anymore suggestions?
 
supermenscher said:
Where do i go from there because in order to get capacitance you need to know area, and finding the area of each plate is also a question in the problem. I thought about using C=Q/V, but that doesn't apply for dielectrics.
Who says that C = Q/V doesn't apply for dielectrics? It's the definition of capacitance.
 
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