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+//Example 3// Ch 5

+clc;

+clear;

+close;

+// given data

+d = 0.001;//in meters

+p1 = 3*101.3; //gas pressure of 3 atmp in kPa

+p2 = 5*101.3; //gas pressure of 5 atmp in kPa

+C =  2400.4;//constant value

+A = 0.027;//constant value

+As = 10^8;//avalanche size

+Vs1 = C*p1*d/A;//breakdown voltage at 3 atm

+Vs2 = C*p2*d/A;//breakdown voltage at 5 atm

+Vs3 = (log(As)+C*p1*d)/A;//breakdown voltage at 3 atm corresponding to an avalanche size

+Vs4 = (log(As)+C*p2*d)/A;//breakdown voltage at 5 atm corresponding to an avalanche size

+printf("breakdown voltage at 3 atm %f kV \n",Vs1*10^-3)

+printf("breakdown voltage at 5 atm %f kV \n",Vs2*10^-3)

+printf("breakdown voltage at 3 atm corresponding to an avalanche size %f kV \n",Vs3*10^-3)

+printf("breakdown voltage at 5 atm corresponding to an avalanche size %f kV \n",Vs4*10^-3)

+//acc. to eq N2>=N1 and Neph>=1 with increase of gas pressure improves the dielectric strength of the gas since breakdown voltage increses with gas pressure

+Vs1pos = 27.5;//postive breakdown voltage at 3 atm in kV

+Vs1neg = 27.73;//negative breakdown voltage at 3 atm in kV

+Vs2pos = 45.2;//postive breakdown voltage at 5 atm in kV

+Vs2neg = 45.5;//negative breakdown voltage at 5 atm in kV

+printf("positive breakdown voltage at 3 atm %f kV \n",Vs1pos)

+printf("negative breakdown voltage at 3 atm %f kV \n",Vs1neg)

+printf("positive breakdown voltage at 5 atm %f kV \n",Vs2pos)

+printf("negative breakdown voltage at 5 atm %f kV \n",Vs2neg)