26. Assignment 4

26.1. Q1 - Q3

• From Sample mid-term questions I do problems A.4, B.4, C.1

26.2. Q4

For the following set of layers:

Fig. 26.1 Two grey layers over a black surface

1. Write down a system of three equations in three unknowns for the equilibrium case where the fluxes at each level are in balance.

2. Write a python function that returns the three layer temperatures \(T_g,\ T_1,\ T_2\) given \(\epsilon_1\), \(\epsilon_2\) and \(I_0\). Hand in notebook that uses that function to solve for \(\epsilon_1=0.8\), \(\epsilon_2 = 0.4\) and \(I_0 = 240\ W\,m^{-2}\)

3. Possible helpful numpy.linalg.solve video from Kindson the Genius