(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Dielectric Capacitor

**Physics Forums | Science Articles, Homework Help, Discussion**