Convert Equation to Linear form of y=mx+c

1. May 3, 2012

kmmaran

1. The problem statement, all variables and given/known data

I need to substitute eq1 to eq2, and obtain a linear relationship of S = ()d + () or S = ()lnd + (). I have tried a lot of method but non of them a successful one. I hope any one can help to obtain the equation in linear form.

Deined parameters:
C = capacitance, d = distance, ε = permittivity, A = variable , ln - natural log , a = radius, W = width, S = space

2. Relevant equations

Equation 1 and 2 need to provide S = ()d + () or S = ()lnd + ()

C = (pi*ε)/(ln [d/a]) .....eq 1

C = A^1/2 / ([(60*pi)/ε^1/2] * (W/S^2)) .....eq 2

3. The attempt at a solution

I have attempt to find solution using expansion series but not working and I use different method of substitution to bring this two formula to linear function but I failed.

I hope anyone can help me with this problem.

Thanks

Kmmaran

Last edited: May 3, 2012
2. May 9, 2012

MostlyHarmless

My first thought is to set them equal to each other. I'm assuming you have tried this. What kind of road block did you hit when trying to simplify it?

3. May 9, 2012

HallsofIvy

Staff Emeritus
Yes, set the two different formulas for C equal to each other (you will have no "C" in the equation) and then solve for S. Show us how you are trying to do that.