AE21B107 Stefan Boltzmann law

jan-may-2022-latex/AE21B107/AE21B107.tex

@@ -1,2 +1,52 @@
 \section{AE21B107}
-Student shall edit this file and include stuff for the assignment
+
+\subsection*{\centering{Stefan-Boltzmann law}}
+
+This law was formulated by Austrian physicist Josef Stefan in 1879 as a result of experimental studies. The same law, in 1884, was derived by Austrian physicist Ludwig Boltzmann from thermodynamic considerations.
+
+Stefan-Boltzmann law states that the total radiant heat energy emitted per unit time from a surface is proportional to the fourth power of its temperature (in Kelvins i.e. Absolute temperature).
+
+The emissivity of blackbody, a theoretical body considered to absorb all radiations incident on it, is 1 and that for ordinary body is between 0 and 1.
+
+\begin{equation}
+    \text{E} = {\sigma}{eT^4} 
+\end{equation}
+
+where $\sigma$ is known as Stefan-Boltzmann constant.
+
+\begin{equation*}
+      {\sigma} = 5.67 \times 10^{-8}
+\end{equation*}
+
+Other forms of this equation can be represented as,
+
+\begin{equation}
+    \frac{dq}{dt} = {\sigma}{eT^4}
+\end{equation}
+
+\begin{equation}
+    \frac{dQ}{dt} = {\sigma}{eAT^4}
+\end{equation}
+
+The symbols used are as follows,
+
+\begin{table}[h]
+    \centering
+    \begin{tabular}{|c|l|}
+    \hline
+    E & Radiant heat energy emitted per unit area per second \\
+    q & Radiant heat energy per unit area \\
+    Q & Radiant heat energy\\
+    A & Area of the radiant surface\\
+    T & Absolute Temperature of the body\\
+    e & Emissivity of the body\\
+    $\sigma$ & Stefan-Boltzmann constant \\
+    \hline
+    \end{tabular}
+    \caption{Symbols used in above representations of Stefan-Boltzmann law}
+\end{table}
+
+The following plots show the variation of E vs T for a given body with e = 1 in Graph 1 and variation of E vs T for various values of e in graph 2.
+
+\includegraphics[scale=0.6]{jan-may-2022-latex/AE21B107/EvsT.eps}
+\includegraphics[scale=0.6]{jan-may-2022-latex/AE21B107/variable_e.eps}