Voltage equivalent of temperature

[Shilpa]

How is voltage equivalent of temperature(V_t=KT/q) defined and derived?
Is it related to kinetic energy(which is equal to 3kT/2)?

 

[Asymptotic]

https://www.physicsforums.com/threads/what-is-thermal-voltage.589409/
https://www.physicsforums.com/threads/transistor-output-resistance-and-thermal-voltage.633871/
https://www.physicsforums.com/threads/transistor-output-resistance-and-thermal-voltage.633871/
These earlier threads may answer some of your questions.