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Generally, the resistance of the thermistor decreases _______.
  • a)
    Exponentially with an increase in temperature
  • b)
    Linearly with an increase in temperature
  • c)
    Linearly with the decrease in temperature
  • d)
    Exponentially with the decrease in temperature
Correct answer is option 'A'. Can you explain this answer?
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Generally, the resistance of the thermistor decreases _______.a)Expon...
Thermistor is widely applicable for several compensation techniques. It exhibits variation in its resistance concerning temperature change. As the thermistor’s resistance decreases with an increase in temperature, this property of the thermistor is also regarded as the negative temperature coefficient of resistivity.
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Generally, the resistance of the thermistor decreases _______.a)Expon...
Introduction:
A thermistor is a type of temperature sensor that exhibits a change in resistance with a change in temperature. The resistance of a thermistor is determined by its temperature coefficient of resistance (TCR), which defines how the resistance changes with temperature. In this question, we are asked to determine how the resistance of a thermistor changes with temperature.

Explanation:
The resistance of a thermistor decreases exponentially with an increase in temperature. This can be understood by considering the following points:

1. Negative Temperature Coefficient:
Thermistors are typically made of semiconductor materials, which have a negative temperature coefficient of resistance (NTC). This means that as the temperature increases, the resistance of the thermistor decreases.

2. Band Gap Energy:
Semiconductor materials have a band gap energy, which is the energy required for an electron to move from the valence band to the conduction band. This band gap energy decreases with an increase in temperature. As the temperature increases, more electrons are able to overcome the band gap and move into the conduction band, leading to an increase in conductivity and a decrease in resistance.

3. Exponential Relationship:
The relationship between resistance and temperature in a thermistor is exponential. This can be described by the Steinhart-Hart equation, which is commonly used to model the resistance-temperature relationship of thermistors. The equation is given by:

1/T = A + B*ln(R) + C*(ln(R))^3

where T is the temperature in Kelvin, R is the resistance in ohms, and A, B, and C are constants that depend on the specific thermistor.

Conclusion:
In conclusion, the resistance of a thermistor decreases exponentially with an increase in temperature. This is due to the negative temperature coefficient of resistance exhibited by semiconductor materials, as well as the decrease in band gap energy with increasing temperature. It is important to consider this behavior when using thermistors for temperature sensing applications.
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