Bandgap Temperature Sensor Fundamentals

Introduction

The bandgap temperature sensor is a very common temperature measurement technology. Applications include (but certainly not limited to) monitoring engine coolants, air conditioning, power supplies, and scientific instruments.

How It Works

If a diode is operated forward biased with a known current then the voltage across it has a predictable change with temperature. This change is in the order of -2mV/°C.

Simple bandgap circuit with a single diode for temperature measurement

Fig 1
- Bandgap temperature measurement with a single diode

While the above circuit certainly works, it's somewhat crude. It's more usual and ideal to use a diode connected (functions only as a diode, no amplification) transistor (Fig 2) for a more stable circuit.

Simple bandgap circuit with a single transistor for temperature measurement

Fig 2
- Bandgap temperature measurement with a single transistor

Two transistors can be used together if more accuracy is needed. An example is the Brokaw bandgap reference circuit (Fig 3).

Brokaw bandgap reference circuit which can be used to measure temperature.

Fig 3
- Brokaw bandgap reference circuit

The two transistors are operated with different currents (IC1 , IC2). Each transistor's emitter-base will have a different voltage (VBE1 , VBE2). The difference between these two voltages (ΔVBE) is proportional to the temperature - see FIG 4.

Calculation used to obtain temperature with a Brokaw bandgap reference circuit.
Fig 4 - Brokaw bandgap reference circuit temperature calculation

From the equation, k and q are constants - Boltzmann constant and charge on an electron respectively.

Since IC1 , IC2 and ΔVBE are known it is a simple task to rearrange the equation to calculate the temperature in Kelvin.

Advantages

It has many advantages including:

  • Very low cost.
  • Can be individually calibrated for excellent accuracy.
  • Can be built into an IC.
  • More linear response than thermistors.

Disadvantages

Even good things usually have some disadvantages:

  • Less linear than resistance thermometers.
  • Limited temperature range, typically the upper limit is 250°C.
  • Fewer options for measuring off-board temperatures.
  • There is potential for measurement drift, particularly in humid environments.

References

  • [1] Texas Instruments, (2019) Temperature sensing fundamentals, Document reference: SNOA25-January 2019.
  • [2] Wikipedia (4 January 2023), Silicon bandgap temperature sensor Available at: https://en.m.wikipedia.org/wiki/Silicon_bandgap_temperature_sensor
    Accessed May 2025
  • [3] Ahmed_Ragab (~2019), DIY Temperature Sensor Using One Diode, AUTODESK Instructables, Available at: https://www.instructables.com/DIY-Temperature-Sensor-Using-One-Diode/
    Accessed May 2025
  • [4] Electrical Engineering (2014), How does a temperature sensor work? Available at: https://electronics.stackexchange.com/questions/113486/how-does-a-temperature-sensor-work
    Accessed May 2025