Basics calculator

Wheatstone bridge

Wheatstone bridge: the circuit drawn with the example's values5 V1kΩ1kΩ1kΩ1.1kΩAB
119 mV out of 5 V with 1 kΩ, 1 kΩ, 1 kΩ, 1.1 kΩ

Two dividers side by side: when they match, the output is zero, whatever the supply.

Opens in the app on 1 December, with Circuit Notebook 1.0 See it worked out

Free. It runs in your browser: nothing to install.

The example, worked out

Given

I want
The output
Excitation
5 V
R1 (left, top)
1 kΩ
R2 (left, bottom)
1 kΩ
R3 (right, top)
1 kΩ
R4 (the sensor)
1.1 kΩ

Working

  1. two dividers
  2. the difference between the middles
  3. the ratios equal, the output is zero

Results

Output B − A119 mV
A (left middle)2.5 V
B (right middle)2.62 V
R4 that balances1 kΩ
Sensitivity1.13 V / kΩ
Current drawn4.88 mA

The formulas

  1. Vout = Vex × (R4 / (R3 + R4) − R2 / (R1 + R2))the difference between the two middles
  2. balance: R1 / R2 = R3 / R4then the output is zero whatever the excitation

The usual traps

  • The output is not linear in the sensor resistance: compute the resistance back for wide swings.
  • The excitation warms the sensor arm: lower it, or pulse it.

Questions

How do I calculate the output of a Wheatstone bridge?

Vout = Vex × (R4 / (R3 + R4) − R2 / (R1 + R2)): the difference between the two middles. balance: R1 / R2 = R3 / R4: then the output is zero whatever the excitation.

What does it give for typical values?

119 mV out of 5 V with 1 kΩ, 1 kΩ, 1 kΩ, 1.1 kΩ. Output B − A: 119 mV.

What are the usual mistakes?

The output is not linear in the sensor resistance: compute the resistance back for wide swings. The excitation warms the sensor arm: lower it, or pulse it.

In the app

Your circuit, drawn live

Change a value: the schematic redraws with your numbers on the parts.

The part you can buy

Results rounded to standard values (E12, E24, E96) and power ratings.

The working, shown

Every step written out. Try it first by hand, then check.

Into your notebook

One click puts the circuit on a sheet of your project.

Opens in the app on 1 December, with Circuit Notebook 1.0

Also in Basics