- #1
TFM
- 1,026
- 0
Homework Statement
A parallel plate air-spaced capacitor has a capacitance of 100pF. It is immersed in a fluid of resistivity 10 m. Calculate the resistance between the plates.
Homework Equations
[tex] C = \frac{\epsilon_0A}{d} [/tex]
[tex] R = \frac{\rho l}{A} [/tex]
The Attempt at a Solution
I seemed to get this question too easily...
First of all, I said that for the fluid, the area is the area of the pates, and l is the distance d between them, then I rearranged the resistivity equation into terms of a/d:
[tex] \frac{A}{d} = \frac{\rho}{R} [/tex]
then I substituted this equation into the capacitance equation:
[tex] C = \epsilon_0\frac{\rho}{R} [/tex]
rearrange for R:
[tex] R = \epsilon_0 \frac{\rho}{C} [/tex]
Insert values:
[tex] R = \epsilon_0 \frac{10}{100*10^{-6}} [/tex]
this gives a value of [tex] 8.85 * 10^{-7} [/tex] Ohms
Does this look correct?
TFM