We can physically model the axonal membrane (axolemma) as a parallel plate capacitor with dielectric in it. If the capacitance per unit area in F/m^2 is known, what single additional parameter needs to be measured in order to determine the dielectric constant k of the membrane material?

Question

We can physically model the axonal membrane (axolemma) as a parallel plate capacitor with dielectric in it. If the capacitance per unit area in F/m^2 is known, what single additional parameter needs to be measured in order to determine the dielectric constant k of the membrane material? 
a) No other measurement is necessary
b)
The area of the capacitor
c) The permittivity of free space E0
d) The thickness of the membrane
e) The resistance of the membrane

I know the answer is C but i don't know how to prove it mathematically or logically. Any help?

Chanz · Answer

kappa = Cd/Eo A C/A is given Eo can be looked up so....

Physics lover · Answer

So the correct answer would be c) right?