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+clc
+//Chapter5
+//Ex_7
+//Given
+Nd=10^15 //in cm^-3
+Nc=2.8*10^19 //in cm^-3
+Ti=556 // in Kelvin
+k=8.62*10^-5 //in eV/K
+delta_E=0.045 //in eV
+T=300 //in kelvin
+//part(a)
+disp("From fig 5.16 the estimated temperature above which the si sample behaves as if intrinsic is 556 Kelvin")
+//part(b)
+Ts=delta_E/(k*log(Nc/(2*Nd)))
+Nc_Ts=Nc*(Ts/T)^(3/2)
+disp(Ts,"Lowest temperature in kelvin is")
+//the improved temperature 
+Ts=delta_E/(k*log(Nc_Ts/(2*Nd)))
+printf("Extrinsic range of Si is %f K to 556 K",Ts)