The net heat exchange by radiation from a black disc 1 with radius b to a black disc 2 with radius a that are separated by a distance c is given by:

The net heat exchange by radiation from a black disc 1 with radius b to a black disc 2 with radius a that are separated by a distance c is given by: Where Ti and T2 are the absolute temperatures of the plates, -5.6698 10-8 w/(m2-K*) is the Stefan- Boltzmann constant, and F1-2 is a shape factor which, for the arrangement in the figure, is given by: Disc 1 where X-a/c, Y c/b, and Z 1 + (1 + X2 )Y2. write a script file Hw4P2.m that calculates the heat exchange q. For the input, the program asks the user to enter values for: 1. The temperature of disc 1 in K,T,, 2. The temperature of disc 2 in K, T2, 3. The radius of disc 1 in m, b 4. The radius of disc 2 in m, a, 5. The distance between the two discs in m as a vector, c. Use your script to calculate the results for T-600 K, T2 = 400 K, a-1 m, b = 2 m, and c- 0.5,1,1.5,...,10 m For output, the program must display a summary of the geometry and temperatures using fprintf with format f with one decimal digit as For circular disc 1 with radius XX m and temperature XX K and circular disc 2 with radius XX m and temperature XX K The program then must display the values of c versus q in table format using the disp function as Radiation Heat Exchange Between 2 Black Circular Discs Distance Radiation Heat Exchange (Watts) 1 Use format short g as the 1st line in your script