- #1

Mircro

- 3

- 2

- Homework Statement
- Between the plates of the capacitor which have area ##S=60cm^2## there is paraffine plate thick ##d_1=4cm ## and a layer of air thick ##d_2=2cm##.

Determine the capacity of the capacitor if relative permittivity of paraffine is ##\varepsilon _{r1}=2,3##.

- Relevant Equations
- ##\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}##

##C=\varepsilon \cdot \frac{S}{d}##

This is a second grade high school problem, translated from my native language.

I don't have a problem with calculating, but with understanding the concept. There is an instruction with the assignment that says: The capacitor can be viewed as a combination of two capacitors in series with relative permittivities ##\varepsilon _{r1}=2,3## and ##\varepsilon_{r2}=1##.

I would like to develop a deeper understanding of this problem so I could recognise similar problems in the future, hopefully even without the given instruction.

So

Thanks in advance!

I don't have a problem with calculating, but with understanding the concept. There is an instruction with the assignment that says: The capacitor can be viewed as a combination of two capacitors in series with relative permittivities ##\varepsilon _{r1}=2,3## and ##\varepsilon_{r2}=1##.

I would like to develop a deeper understanding of this problem so I could recognise similar problems in the future, hopefully even without the given instruction.

So

**why**this can be viewed as two capacitors in series? Can we say that the charge accumulates on the first plate, then on the other side of the of the paraffine plate, so we have first plate, paraffine plate and the second plate, so it is like two capacitors with one plate (paraffine plate) in common? I was thinking: because of the way that this system (hope we can call it that way) is put together in space, there will be the same amount of charge in every of the plates, which is a characteristics of capacitors connected in series.Thanks in advance!