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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//CHAPTER 1- D.C. CIRCUIT ANALYSIS AND NETWORK THEOREMS
+//Example 42
+
+disp("CHAPTER 1");
+disp("EXAMPLE 42");
+
+//VARIABLE INITIALIZATION
+v=10; //in Volts
+I=0.5; //in Amperes
+r1=4; //top LHS resistance in Ohms
+r2=2; //top RHS resistance in Ohms
+r3=2; //first resistance in Ohms
+r4=2; //second resistance in Ohms
+
+//SOLUTION
+
+//using Thevenin theorem
+rth=(r1*r3)/(r1+r3);
+vth=v*(r3/(r1+r3));
+//solving for R directly,
+R=(40-(56*I))/(24*I);
+disp(sprintf("(i) By Thevenin Theorem, the value of R is %d Ω",R));
+
+//using nodal analysis
+//solving the quadratic equation formed by comparing eq(1) and eq(2)
+//(3)R^2+(-3)R+(0)=0
+a=3;
+b=-3;
+c=0;
+D=(b^2)-(4*a*c); //discriminant
+R1=(-b+sqrt(D))/(2*a);
+R2=(-b-sqrt(D))/(2*a);
+if(R1==1) then
+disp(sprintf("(ii) By Nodal analysis, the value of R is %d Ω",R1));
+else
+disp(sprintf("(ii) By Nodal analysis, the value of R is %d Ω",R1));
+end;
+
+//END