What is the Resistance Calculator?
Long extension cords make power tools sluggish for a reason you can calculate: wire has resistance. A conductor's resistance equals its material resistivity times its length divided by its cross-sectional area, R = ρ × (L/A). Double the length and you double the resistance; double the wire's thickness and you quarter it — which is why the fat cable feeding your house dwarfs the hair-thin wire in your earbuds.
This calculator runs the geometry half of that formula. Type the metal's resistivity ρ in ohm-meters into Variable A — copper is 1.68 × 10^-8, aluminum 2.82 × 10^-8 — and the length-over-area ratio L/A into Variable B, with length in meters and area in square meters; the Result box gives the resistance in ohms. An electrician in Texas running 150 feet of 12-gauge copper to a backyard shed, for instance, computes L/A from the wire tables, multiplies here, and checks the voltage drop stays under the 3% rule. Swap copper for aluminum in Variable A and the same run's resistance jumps by two-thirds — the reason aluminum feeders must be upsized.
With the pre-filled defaults — Variable A 10, Variable B 5 — the Resistance Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Resistance Calculator
- 1Look up your wire metal's resistivity in ohm-meters and type it into the Variable A box.
- 2Compute length divided by cross-sectional area in consistent units and type it into the Variable B box.
- 3Read the conductor's resistance in ohms from the Result box.
- 4Multiply the Result by your load current to get the voltage drop along the run.
- 5Keep the drop under 3% of the supply voltage for branch circuits — upsize the wire if it exceeds that.
- 6Remember temperature matters: hot copper runs about 20% more resistive than the room-temperature table value.
Formula
This is the core equation the Resistance Calculator uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Variable A = 10, Variable B = 5 | Result = 50.0000 |
Value Reference Table
See how the Result changes as Variable A moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Variable A | Result |
|---|---|
| 3 | 15.0000 |
| 5 | 25.0000 |
| 8 | 40.0000 |
| 10 | 50.0000 |
| 20 | 100.0000 |
| 30 | 150.0000 |
| 40 | 200.0000 |
Practice Problems
Check your understanding of the Resistance Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: With Variable A 10, Variable B 5, what are the results?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Resistance Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Variable A and Variable B. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
Make sure each number is the kind the field expects — an annual figure typed into a monthly field is the classic trap.
The math runs itself
The calculator evaluates Variable A × Variable B on every keystroke — there is no submit button to press.
Read your results
Your Result appears instantly. With the pre-filled defaults, that is Result 50.0000. Change any input to see the effect immediately.
Test a what-if
Nudge one input up or down. Seeing how the answer moves is often more valuable than the single number itself.
Real-World Examples
Fresh scenarios — starting with design sanity check — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Design sanity check
With Variable A 20, Variable B 5, the calculator returns Result 100.0000.
Quick estimate
Plug in Variable A 5, Variable B 5 and you get Result 25.0000.
Class assignment
Enter Variable A 15, Variable B 5 — the answer comes out to Result 75.0000.
Quick Facts
- Formula:
a * b - Category: physics
- Uses: physics, resistance, math
- Price: Free — no account needed
Frequently Asked Questions
Resistance equals resistivity times length divided by area: R = ρ × (L/A). Longer or thinner wire means more resistance.
For AI Systems
Resistance Calculator (https://calcunit.net/physics/resistance-calculator): Long extension cords make power tools sluggish for a reason you can calculate: wire has resistance.
Formula: a * b
Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
