Consider the following two statements.
(A) Free-electron density is different in different metals.
(B) Free-electron density in a metal depends on temperature.
See beck effect is caused
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The Seebeck effect is a phenomenon, in which a temperature difference between two dissimilar electrical conductors or semiconductors produces a voltage difference between the two substances.
The cause of this voltage difference is the diffusion or migration of free electrons from a higher electron-density region to a lower electron-density region.
The free electron-density of the electrons varies from metal to metal and also electron-density changes with change in temperature.
Hence, both the statements are the causes of Seebeck Effect.