Question

Goals: Determine the dielectric constant of paper by varying either the capacitor area or capacitor separation distance based on your decision to have the most precise dielectric constant measurement. Devise a method to reduce the uncertainty of the dielectric constant as much as possible.

please help: Derive an equation for the dielectric constant K, given the capacitance C, separation distance s, and the plate area A.

Answer 1

Dielectric constant can be calculated by capacitor method.

If we consider a parallel plate capacitor having capacitance C​​​​​​, separation distance between plates is s​​​​​​, and plate area is A, ​and then a paper as a dielectric is placed between the plates, the capacitance would be,

C= KA​​​​/s where is permittivity in free space

Then dielectric constant will be,

K= sC/A