Enter the resistance and cross-sectional area into the calculator to determine the distance. This calculator can also evaluate any of the variables given the others are known.

Ohms To Distance Calculator

Enter any 3 values to calculate the missing variable

Ohms To Distance Formula

The following formula could be used to calculate the distance based on resistivity (Ohms) in a specific context. 

D = (R * A) / ρ

Variables:

  • D is the distance (meters)
  • R is the resistance (Ohms)
  • A is the cross-sectional area of the material (square meters)
  • ρ is the resistivity of the material (Ohm meters)

To calculate the distance, multiply the resistance by the cross-sectional area of the material, then divide the result by the resistivity of the material.

Ohms to Distance Conversion Table (Copper, A = 1.00 mm², ρ = 1.72×10⁻⁸ Ω⋅m @ 20°C)
Resistance (Ω) Distance (m) Distance (ft)
0.052.9079.543
0.15.81419.087
0.211.62838.173
0.317.44257.260
0.529.07095.433
0.7543.605143.150
158.140190.866
1.587.209286.299
2116.279381.732
3174.419572.598
4232.558763.465
5290.698954.331
7.5436.0471431.496
10581.3951908.661
12697.6742290.394
15872.0932862.992
201162.7913817.323
251453.4884771.654
301744.1865725.984
502906.9779543.307
Assumes copper at 20°C with cross-sectional area A = 1.00 mm² (1×10⁻⁶ m²) and resistivity ρ = 1.72×10⁻⁸ Ω⋅m. Formula: L = (R × A) / ρ. Results scale linearly with A and inversely with ρ.

How to Calculate Ohms To Distance?

The following steps outline how to calculate the Ohms To Distance.

  1. First, determine the resistance (R) in Ohms.
  2. Next, determine the cross-sectional area (A) of the material in square meters.
  3. Next, determine the resistivity (ρ) of the material in Ohm meters.
  4. Next, gather the formula from above = D = (R * A) / ρ.
  5. Finally, calculate the Ohms To Distance (D).
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Resistance (R) = 10 Ohms

Cross-sectional area (A) = 5 square meters

Resistivity (ρ) = 2 Ohm meters