a. The Seebeck coefficient

S

is the ratio of the voltage difference to the\ temperature difference. What is

S

in terms of the Onsager coefficients?\ b. Show that

S

can be expressed as an entropy

s

per unit charge

q

. State\ any assumptions that you have made in your derivation.\ Hint: Recall from thermodynamics the Gibbs-Duhem relation and note\ that chemical potential

\\\\mu

is related to electric potential

\\\\phi

as

\\\\mu =q\\\\phi

.\ c. The Peltier coefficient

\\\\Pi

is the ratio of the flux of heat to the flux of\ electric charge. What is

\\\\Pi

in terms of the Onsager coefficients?\ d. How are the two coefficients, denoted

S

and

\\\\Pi

above, related?\ Hint: Due to Onsager's symmetry principle,

L_(ij)=L_(ji)

.

The Seebeck coefficient S is the ratio of the voltage difference to the temperature difference. What is S in terms of the Onsager coefficients? o. Show that S can be expressed as an entropy s per unit charge q. State any assumptions that you have made in your derivation. Hint: Recall from thermodynamics the Gibbs-Duhem relation and note that chemical potential is related to electric potential as =q. c. The Peltier coefficient is the ratio of the flux of heat to the flux of electric charge. What is in terms of the Onsager coefficients? d. How are the two coefficients, denoted S and above, related? Hint: Due to Onsager's symmetry principle, Lij=Lji