- #1
cris9288
- 2
- 0
Homework Statement
I have a wire in the shape of a truncated cone. One side has radius a and the other has radius b. The wire has resistivity ρ and length L. I am supposed to find the resistance of the wire using R = ρL/A
Homework Equations
R= ρL/A
The Attempt at a Solution
So far I have set up my integeral. I know the answer, but I am having trouble with the actual integration by substitution.
ρ∫ dx / (π * (a + (b - a)(x / L))^2)
u = a + (b - a)(x / L)
du = ( b - a ) / L
This just gets me into a huge mess. The answer is ρL/ab. Thanks for any help.