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+// Estimating the temperature of the hot spot

+clc;

+disp('Example 4.6, Page No. = 4.11')

+// Given Data

+t = 0.5;// Plate width of transformer core in meter

+Ki = 0.94;// Stacking Factor

+p_core = 3;// Core loss in Watt per kg

+thermal_conductivity = 150;// Thermal conductivity in Watt per degree celsius

+Ts = 40;// Surface temperature in degree celsius

+D = 7800;// Density of steel plate in kg per meter cube

+// Calculation of the temperature of the hot spot

+q = p_core*Ki*D;// Core loss per unit volume (Watt per meter cube)

+p = 1/thermal_conductivity;// thermal resistivity

+x =t;// Since heat is taken all to one end

+Tm = (q*p*x*x/2)+Ts;// Temperature of the hot spot, if heat is taken all to one end (degree celsius)

+disp(Tm,'(a)   Temperature of the hot spot, if heat is taken all to one end (degree celsius)=');

+//in book answers is 58.3 degree celsius.  The answers vary due to round off error

+x =t/2;// Since heat is taken to both the directions

+Tm = (q*p*x*x/2)+Ts;// Temperature of the hot spot, if heat is taken to both the directions (degree celsius)

+disp(Tm,'(b)   Temperature of the hot spot, if heat is taken to both the directions (degree celsius)=');

+//in book answers is 44.6 degree celsius.  The answers vary due to round off error