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Calculators/Physics/Wheatstone bridge
Physics

Wheatstone bridge calculator

Unknown resistance from three known resistors at the balance point.

What this calculator does

Wheatstone bridge works out unknown resistance from three known resistors at the balance point. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaBalanced when R1/R2 = R3/Rx → Rx = R2·R3/R1

The inputs explained

FieldWhat to enter
R1 (Ω)A number, measured in Ω. Starts at 100.
R2 (Ω)A number, measured in Ω. Starts at 150.
R3 (variable arm at balance) (Ω)A number, measured in Ω. Starts at 220.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with r1

Every other input is held at the calculator’s starting values while r1 varies. Select any row to load that scenario into the calculator.

How the answer changes with r1
R1 (Ω)Unknown resistance RxRatio R1/R2Ratio R3/Rx (should match R1/R2)
50660.000 Ω0.33330.3333
75440.000 Ω0.50000.5000
100330.000 Ω0.66670.6667
150220.000 Ω1.0001.000
200165.000 Ω1.3331.333
300110.000 Ω2.0002.000