thermo stuff

content/physics/thermodynamics.md

@@ -65,5 +65,29 @@ $$
 \lambda_{\text{peak}}=\frac{b}{T}
 $$
 
-Where $b$ is Wien's displacement constant, equal to $2.897771955\cdot 10^{-3} \mathrm{m}\cdot\mathrm{K}$.
+Where $b$ is Wien's displacement constant, equal to $2.897771955\cdot 10^{-3} \mathrm{m}\cdot\mathrm{K}$. 
+
+> [!NOTE]
+> The material does not matter. All black bodies emit radiation over all wavelengths. 
+
+## Stefan Boltzmann Law of Radiation
+This law describes the emissive power of a Black Body per unit area. 
+
+$$
+E_b=\varepsilon \sigma\cdot T^4 
+$$
+
+In the above equation,:
+
+- $E_b$ is the **Emissive Power** of a black body, per unit time, per unit area.
+- $\varepsilon$ is the emissivity of an object 
+- $\sigma$ is the Boltzmann constant, about $\approx 5.670374419\cdot 10^{-8} \mathrm{W}\cdot\mathrm{m}^{-2}\cdot \mathrm{K}^{-4}
+- A perfect black body has an emissivity of $1$, and an albedo of $0$
+- always work in default SI units 
+
+If you desire the total power across the entirety of the surface:
+$$
+P_b=A\varepsilon \sigma\cdot T^4 
+$$
+Where $A$ is the area of the exposed surface.