What is the relationship between temperature and height in the troposphere ,stratosphere, mesophere, thermosphere, exosphere

As temperature increases in the Troposphere,Stratosphere,Thermosphere,Exosphere the height also increases.

In the Mesosphere as the height increases temperature decreases.

Explanation:

Temperature and Height show a directly proportional relationship because as the height increase also temperature does the same for Troposphere,Stratosphere,Thermosphere,Exosphere. In Mesosphere the relationship between height and temperature is inversely proportional meaning as the other increases the other decreases.

r=rho l/a where a is the area, l is the length and rho is resistivity so the greater the area the lesser the resistance thats why the earth pin is thicker bcos current follow the shortest path, so less resistive .