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Diffstat (limited to '1445/CH1/EX1.37/ch1_ex_37.sce')
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diff --git a/1445/CH1/EX1.37/ch1_ex_37.sce b/1445/CH1/EX1.37/ch1_ex_37.sce new file mode 100644 index 000000000..398178bc5 --- /dev/null +++ b/1445/CH1/EX1.37/ch1_ex_37.sce @@ -0,0 +1,54 @@ +//CHAPTER 1- D.C. CIRCUIT ANALYSIS AND NETWORK THEOREMS +//Example 37 + +disp("CHAPTER 1"); +disp("EXAMPLE 37"); + +//VARIABLE INITIALIZATION +v1=90; //voltage source in Volts +r1=8; //in Ohms +r2=6; //in Ohms +r3=5; //in Ohms +r4=4; //in Ohms +r5=8; //diagonal resistance in Ohms +r6=8; //in Ohms + +//SOLUTION + +//using Thevenin's Theorem +//(3)v1+(-2)v2=90...........eq (1) +//(-2)v1+(4)v2=-90..........eq (2) +A=[3 -2;-2 4]; +b=[90;-90]; +x=inv(A)*b; +v1=x(1,:); +v2=x(2,:); +vth=v1; +req1=(r1*r5)/(r1+r5); +req2=req1+r4; +req3=(req2*r6)/(req2+r6); +rth=req3+r2; +vab1=(vth*r3)/(rth+r3); +disp(sprintf("By Thevenin Theorem, the value of V_ab is %f V",vab1)); + +//using Norton's Theorem +//(13)v1+(-7)v2=270.........eq (1) +//(7)v1+(-13)v2=0...........eq (2) +A=[13 -7;7 -13]; +b=[270;0]; +x=inv(A)*b; +v1=x(1,:); +v2=x(2,:); +req1=(r1*r5)/(r1+r5); +req2=req1+r4; +req3=(req2*r6)/(req2+r6); +rn=req3+r2; +if(v1>v2) then +In=(v1-v2)/r2; +else +In=(v2-v1)/r2; +end; +vab2=(r3*In)*(rn/(rth+r3)); +disp(sprintf("By Norton Theorem, the value of V_ab is %f V",vab2)); + +//END |