The image above represents resistance of a temperature detector.

To compute for resistance of a temperature detector, four essential parameters are needed and these parameters are **Reference Resistance (R _{o}), Temperature Co-efficient of Resistivity (α)**

**, Temperature of Thermistor (T)**and

**Ambient Temperature (T**

_{o}).The formula for calculating resistance of a temperature detector:

R = R_{o} [1 + α(T – T_{o})]

Where:

R = Resistance

R_{o} = Reference Resistance

α = Temperature Co-efficient of Resistivity

T = Temperature of Thermistor

T_{o} = Ambient Temperature

Let’s solve an example:

Find the resistance when the reference resistance is 11, the temperature co-efficient of resistivity is 13, the temperature of thermistor is 17 and the ambient temperature is 19.

This implies that;

R_{o} = Reference Resistance = 11

α = Temperature Co-efficient of Resistivity = 13

T = Temperature of Thermistor = 17

T_{o} = Ambient Temperature = 19

R = R_{o} [1 + α(T – T_{o})]

R = 11 x [1 + 13 x (17 – 19)]

R = 11 x [1 + 13 x (-2)]

R = 11 x [1 + -26]

R = 11 x -25

R = – 275

Therefore, the **resistance of temperature detector **is **– 275 Ω.**