Seebeck Effect: Duration of Voltage Production?

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So basically in Seebeck effect, after you heat one side, all the holes in p-type material and electrons in n-type materials flow to one side
And thus creates a voltage
So if you add a wire connect the 2 cool ends, the holes move to n-type material and electrons move to p-type
So after a while , all the holes and electrons have already moved to the other side
So will Seebeck effect only last for a period of time ?
 
Well, the Seebeck effect is just a conversion of thermal energy into electrical one. It will last as long as you keep supplying the thermal energy.
 
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