1. The problem statement, all variables and given/known data
I have to find the ratio of RB/RA where R is electrical resistance.
Both objects A and B have circular cross section and length L, and are made of the same material.
A has radius r0. B has radius r0/2 at the bottom and increases linearly to 2r0.
2. Relevant equations
R=pl/A
3. The attempt at a solution
RA is simple enough to determine, but I'm stuck with RB
I have 2 potential theories as how to tackle this.
One is that the thin end and the thick ends will cancel, due to symmetry, leaving me with a ratio of 1.
The other involves R=pl/A becoming R=p∫0L1/A dx and somehow changing this to involve r0/2 and 2r0
I have to find the ratio of RB/RA where R is electrical resistance.
Both objects A and B have circular cross section and length L, and are made of the same material.
A has radius r0. B has radius r0/2 at the bottom and increases linearly to 2r0.
2. Relevant equations
R=pl/A
3. The attempt at a solution
RA is simple enough to determine, but I'm stuck with RB
I have 2 potential theories as how to tackle this.
One is that the thin end and the thick ends will cancel, due to symmetry, leaving me with a ratio of 1.
The other involves R=pl/A becoming R=p∫0L1/A dx and somehow changing this to involve r0/2 and 2r0
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