The response of a temperature sensor can be described by the transient heat transfer process of the lumped mass of the sensing element. By Newton’s Law of Cooling:
hAs (Ts-T∞ )= m.C.dT/dt
Where h is the convective heat coefficient
As is the total surface area of the sensing element
Ts is the temperature of the sensing element
T is the ambient temperature
M is the lumped mass of the sensing element
C is the specific heat capacity of the sensing element material
For a static input, by using the above transient heat equation, find the time response of the temperature sensor.
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