Is Input to a Thermocouple a Step or Ramp?

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Is input to a thermocouple a step or ramp?
 
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a thermocouple is a single capacity system..so when immersed in water bath what would be the input to the thermocouple at that instant...is thAT a ramp input or step input??
 
An instant change must be a step. A thermocouple has thermal mass so it will take time to exponentially settle towards a final value. That is closer to a ramp than a step. What is the time constant of the thermal change?