- #1
meph11
- 4
- 0
Homework Statement
I have two homework problems, both of which require me to solve the equation for the capacitance of a capacitor for the inner radius of the capacitor (one cylindrical, one spherical). This shouldn't be a problem, but I think my algebra is screwy.
a = inner radius
b = outer radius
C = capacitance
h = height of capacitor
Homework Equations
Capacitance of a Spherical Capacitor:
(i) C=4[tex]\pi[/tex][tex]\epsilon_{0}[/tex]ab / (b-a)
Capacitance of a Cylindrical Capacitor:
(ii) C=2[tex]\pi[/tex][tex]\epsilon_{0}[/tex]h / ln(b/a)
The Attempt at a Solution
My attempts at solving these for a are as follows:
(i) a = b*C / (C + 4*[tex]\pi[/tex]*[tex]\epsilon[/tex]*b)
(ii) a = b / e[tex]^{(2*\pi*\epsilon*h / C)}[/tex]
Last edited: