I am a plant eco-physiologist working with leaf venation networks. I want to calculate the resistance of a vein segment in units of Ohms, using the formula Resistance = (resistivity * segment length)/ cross sectional area. I have the vein length in m, the vein cross-sectional area in cm2 and I calculated the vein resistivity using the Sack and Frole 2006 formula (DOI: 10.1890/05-0710) which gives the resistivity in units of MPa mmol-1 s m. How could I convert this resistivity in MPa mmol-1 s m to units of Ohm m (Ohms per meter)?
Electronic – Resistivity unit conversions
resistanceresistivity
Related Solutions
4.2 microns, not 4.2 microns squared. Area is not a unit of thickness. Divide your answer by pi, take the square root, and multiply by 2 to yield diameter
26 AWG is 40 ohms / 1000 foot as per this table: -
A 50 foot length of this wire (2 ohms) with 8A will dissipate 128 watts i.e. it doesn't sound a sensible choice. The volt drop at 8A will be 16 volts.
As for your formula I can't tell whether it agrees or disagrees with whatever reference you have.
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Best Answer
The Sack and Frole formula is for hydraulic resistivity, which is related to fluidics, not electrical resistivity. They're different things so you can't convert.
In basic SI units, electrical resistivity \$\rho\$ is in units of:
\$\text{kg}\cdot \text{m}^2\cdot A^{-2} \cdot s^{-2}\$ or in derived units \$\Omega\cdot \text{m}\$ or \$V\cdot A^{-1}\cdot \text{m}\$
The hydraulic resistivity is analogous in that the pressure (analogous to voltage) is in Pascals, the length in m and the flow rate (analogous to current flow in A = coulombs/s) in mmol/s but they are completely different physical things.