A thermistor is a type of temperature sensor whose resistance changes significantly with temperature. Its name comes from the combination of "thermal" and "resistor." There are two main types of thermistors: **Negative Temperature Coefficient (NTC)** and **Positive Temperature Coefficient (PTC)** thermistors. NTC thermistors decrease in resistance as the temperature increases, while PTC thermistors increase in resistance as the temperature increases. Here, we'll focus on the more commonly used NTC thermistor to explain how it measures temperature.
### How a Thermistor Measures Temperature
1. **Basic Principle**:
- The key principle behind a thermistor's operation is the **temperature dependence of its resistance**. In an NTC thermistor, the resistance decreases as the temperature rises. This change in resistance is usually non-linear but predictable and can be precisely characterized.
- The resistance of a thermistor at any given temperature can be described using an equation known as the **Steinhart-Hart equation** or an exponential approximation for simpler applications.
2. **Thermistor Characteristics**:
- Thermistors are made from semiconductor materials such as metal oxides (e.g., manganese, nickel, cobalt) that are sintered to produce the desired resistance-temperature characteristics.
- Unlike other temperature sensors like thermocouples, thermistors typically have a **high sensitivity** to small temperature changes within a limited range, making them ideal for applications where precise temperature measurement is required.
3. **How It Measures Temperature**:
- When a thermistor is used to measure temperature, it is typically part of an electrical circuit, often a **voltage divider** or a **Wheatstone bridge**.
- In a simple voltage divider setup, the thermistor is connected in series with a fixed resistor, and a constant voltage is applied across the series combination. The output voltage across the thermistor (or the fixed resistor) is then measured.
- The voltage across the thermistor depends on its resistance, which changes with temperature. By measuring this voltage, the resistance of the thermistor can be determined using Ohm's law:
\[
V_{\text{out}} = V_{\text{in}} \times \frac{R_{\text{thermistor}}}{R_{\text{thermistor}} + R_{\text{fixed}}}
\]
- Once the resistance is known, the temperature can be calculated using the thermistor's resistance-temperature characteristics.
4. **Calibration and Temperature Conversion**:
- Thermistors typically come with a **calibration curve** or a table that maps resistance values to temperatures. This curve is specific to the type of thermistor and is usually provided by the manufacturer.
- For more precise applications, the relationship between resistance and temperature can be modeled mathematically using the **Steinhart-Hart equation**:
\[
\frac{1}{T} = A + B \ln(R) + C (\ln(R))^3
\]
Where:
- \( T \) is the temperature in Kelvin.
- \( R \) is the resistance of the thermistor.
- \( A \), \( B \), and \( C \) are constants determined through calibration.
- For less precise applications or a narrower temperature range, a simpler exponential relationship can be used:
\[
R(T) = R_0 e^{\beta \left( \frac{1}{T} - \frac{1}{T_0} \right)}
\]
Where:
- \( R(T) \) is the resistance at temperature \( T \).
- \( R_0 \) is the resistance at a reference temperature \( T_0 \) (usually 25°C).
- \( \beta \) is a material-specific constant.
5. **Circuit Implementation**:
- In practical circuits, the thermistor is used in conjunction with an analog-to-digital converter (ADC) to convert the analog voltage signal into a digital value that can be processed by a microcontroller or other processing units.
- The microcontroller then uses the digital value to look up or calculate the corresponding temperature using the thermistor's calibration data.
### Example of a Thermistor in Use
Let's say we have an NTC thermistor with a resistance of 10 kΩ at 25°C. When it is placed in a simple voltage divider circuit with a 10 kΩ fixed resistor, and the circuit is powered by a 5V supply:
1. **At 25°C**, the resistance of the thermistor is 10 kΩ, making the voltage across the thermistor 2.5V (since both resistors are equal).
2. **As the temperature increases**, the resistance of the thermistor decreases. For example, at 50°C, its resistance might drop to 5 kΩ.
3. The new output voltage across the thermistor will change according to the new resistance, indicating a change in temperature.
4. By measuring this voltage, we can use the thermistor's resistance-temperature characteristics to determine the actual temperature.
### Advantages and Disadvantages of Thermistors
**Advantages**:
- High sensitivity to temperature changes.
- Compact and inexpensive.
- Fast response time.
**Disadvantages**:
- Non-linear resistance-temperature relationship, which can complicate temperature calculations.
- Limited temperature range compared to other sensors like thermocouples.
- Can be affected by self-heating if too much current flows through the thermistor.
### Summary
A thermistor measures temperature by exploiting the predictable change in its resistance with temperature. It is placed in an electrical circuit where changes in its resistance alter a measurable electrical parameter (usually voltage). By calibrating this relationship, the temperature can be accurately determined. This makes thermistors useful for applications where high precision within a limited temperature range is required.