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The distance between electrodes formula calculates the separation between two parallel electrodes based on resistance, cross-sectional area, and material resistivity. This relationship is fundamental in electrical engineering and electrochemistry applications.
The calculator uses the formula:
Where:
Explanation: This formula derives from the fundamental relationship between resistance and material properties, where resistance is directly proportional to the distance between electrodes and inversely proportional to cross-sectional area.
Details: Accurate electrode distance calculation is crucial for designing electrochemical cells, battery systems, electrical circuits, and various measurement devices where precise electrode spacing affects performance and measurement accuracy.
Tips: Enter resistance in ohms, cross-sectional area in square meters, and resistivity in ohm·meters. All values must be positive numbers greater than zero for valid calculation.
Q1: What units should I use for the inputs?
A: Resistance in ohms (Ω), area in square meters (m²), and resistivity in ohm-meters (Ω·m) for consistent results.
Q2: Does this formula work for all electrode shapes?
A: This formula is specifically for parallel plate electrodes with uniform cross-sectional area. Different electrode geometries require modified formulas.
Q3: How does temperature affect the calculation?
A: Temperature affects resistivity (ρ) of materials. For accurate results, use resistivity values at the operating temperature or include temperature compensation.
Q4: Can this be used for liquid electrolytes?
A: Yes, the formula applies to both solid conductors and liquid electrolytes, provided the electrode geometry is parallel plates.
Q5: What are typical resistivity values for common materials?
A: Copper: 1.68×10⁻⁸ Ω·m, Aluminum: 2.82×10⁻⁸ Ω·m, Seawater: ~0.2 Ω·m, Distilled Water: ~1.8×10⁵ Ω·m.