Question

USING MATLAB: Please show how to do this in Matlab

a) Create a script file that uses three sets of nested loops to calculate the final temperature of a light bulb filament. The three nested loops are necessary to calculate T_f for all possible combinations of P, A, and T_i for the engineering formula below. The output from the script should be a 1xn vector representing the values of T_f.

You must initialize the output variable so it does not change in size during the looping.

Hints: Use the nth root command to go from T_f⁴ to T_f . Use an incrementor (counter) variable to index T_f.

P = 0 A(T-T)

T_i= [ -10 5 24 17 39]

Power = P = [30 60 75 100]

Area = A = [2.0 x 10^-5 1.5 x 10^-5  1.0 x 10^-5]

$\sigma = 5.6696 \ast 10 ^8$

b) Find the minimum values of T_f and the corresponding values for P,A, and T_i

Answer 1

P = [30 60 75 100];
Ti = [-10 5 24 17 39];
A = [2*10^-5 1.5*10^-5 10^-5];
n=1;
for x=1:4
for j=1:5
for z=1:3
a = ( P(x)/((5.6696*10^8)*A(z)) )+Ti(j)^4;
Tf(n) = sqrt(sqrt(a));
n = n+1;
end
end
end
[r,c] = min(Tf);
disp(Tf')
disp('Minimum of Tf:')
disp(r)