# Linear Thermal Expansion

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Linear thermal expansion, abbreviated as $$\Delta l$$ (Greek symbol alpha), also known as line thermal expansion, is a porportional change in the origional length and change in temperature due to the heating or cooling of an object.

### Linear Thermal Expansion Formulas

(Eq. 1)  $$\large{ \Delta l = l_f - l_i }$$

(Eq. 2)  $$\large{ \Delta l = \alpha \; l_i \; \Delta T }$$

Where:

$$\large{ \Delta l }$$  (Greek symbol alpha) = linear thermal expansion

$$\large{ \Delta T }$$ = temperature differential

$$\large{ l_f }$$ = final length of object

$$\large{ l_i }$$ = initial length of object

$$\large{ \alpha }$$  (Greek symbol alpha) = linear expansion coefficient