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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+//CHAPTER 1- D.C. CIRCUIT ANALYSIS AND NETWORK THEOREMS
+//Example 52
+
+disp("CHAPTER 1");
+disp("EXAMPLE 52");
+
+//VARIABLE INITIALIZATION
+v1=20; //LHS voltage source in Volts
+v2=12; //RHS voltage source in Volts
+r1=5; //LHS resistance in Ohms
+r2=2; //in Ohms
+r3=8; //in Ohms
+r4=10; //RHS resistance in Ohms
+
+//SOLUTION
+
+//by Thevenin's Theorem
+rth=r3+((r1*r2)/(r1+r2));
+v=v1*(r2/(r1+r2)); //by voltage divider law
+vab=-v2+(r3*0)+(rth*0)+v;
+I1=vab/(rth+r4);
+Isc=vab/rth;
+disp(sprintf("By Thevenin Theorem, the value of current is %f A",I1));
+
+//verification by Norton's Theorem
+//7I1+2I2=20.................eq (1)
+//2I1+10I2=12................eq (2)
+//solving the equations using matrix method
+A=[7 2;2 10];
+b=[20;12];
+x=inv(A)*b;
+x1=x(1,:); //to access 1st element of 2X1 matrix
+x2=x(2,:); //to access 2nd element of 2X1 matrix and Isc=-x2
+Isc=-x2;
+I2=Isc*(rth/(rth+r4));
+if(I1==I2)
+disp(sprintf("By Norton Theorem, the value of current is %f A",I2));
+disp(sprintf("Hence, answer is confirmed by Norton Theorem"));
+else
+disp(sprintf("The answer is not confirmed by Norton Theorem"));
+end;
+
+//END
+
+
+