(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A parallel plate cap of cross sectional area A and thickness d is filled with a dielectric material whose relative permittivity varies from [tex]\epsilon_r = 1 to \epsilon_r = 10[/tex]

Find the capacitance.

2. Relevant equations

3. The attempt at a solution

C = Q/V

E = [tex]\sigma / e0 \epsilon_r[/tex]

I am thinking that since V = [tex]- \int{}{} E dot dl[/tex] I need to integrate, I can't quite figure out the relationship between this though.

I kind of would like to just evaluate the from 10 to 1 and get C = 9 A e0 / d but that isn't quite it.

C = 9A e0 / d is close to the answer, but somehow a ln sneaks in there too?

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# Dielectric Capacitor

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