What is the value of Peltier coefficient for thej unction of...

What is the value of Peltier coefficient for thej unction of the given thermocouple at temperature $20^{\circ} \mathrm{C}$ ?
(a) $2.1 \mathrm{mV}$
(b) $4.2 \mathrm{mV}$
(c) $6.3 \mathrm{mV}$
(d) $8.4 \mathrm{mV}$

Key Concepts

Peltier Coefficient

The Peltier coefficient quantifies the amount of heat carried per unit charge across a junction between two different conductors when an electric current is passed through. It is a fundamental parameter in the study of thermoelectric effects and is crucial for understanding how electrical energy can be converted into heat at a junction, or vice versa, and is typically temperature-dependent.

Thermocouple

A thermocouple is a device made of two dissimilar conductors that are joined at one end, used to measure temperature based on the thermoelectric effects. The temperature difference between the junction or 'hot' junction and the reference 'cold' junction creates a voltage difference that can be related back to temperature, making thermocouples essential components in temperature measurement instruments.

Seebeck Coefficient

The Seebeck coefficient represents the magnitude of an induced thermoelectric voltage in response to a temperature difference across a material. It is a key parameter in thermocouple performance since the voltage generated directly relates to the temperature gradient, and its value is instrumental in deducing other parameters such as the Peltier coefficient.

Kelvin Relations

The Kelvin relations establish the interconnection between the Seebeck coefficient and the Peltier coefficient, linking the thermal and electrical transport phenomena seen in thermoelectric materials. Specifically, one of the Kelvin relations states that the Peltier coefficient equals the product of the Seebeck coefficient and the absolute temperature (? = S × T), which is pivotal for calculating one property when the other is known.

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