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Diffstat (limited to '2219/CH3/EX3.7/Ex3_7.sce')
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1 files changed, 21 insertions, 0 deletions
diff --git a/2219/CH3/EX3.7/Ex3_7.sce b/2219/CH3/EX3.7/Ex3_7.sce new file mode 100755 index 000000000..48ddc4303 --- /dev/null +++ b/2219/CH3/EX3.7/Ex3_7.sce @@ -0,0 +1,21 @@ +// Chapter 3 example 7
+//------------------------------------------------------------------------------
+clc;
+clear;
+// in the first case when the line is lamda/2 long, the i/p impedance is same as the load resistance
+Zl = 300; // load resistance in ohm
+Zo = 75; // charecteristic impedance in ohm
+
+// calculations
+//Zi = Zo*((Zl + iZotanβl)/(Zo + iZltanβl))
+// = Zo*(((Zl/tanβl) + iZo))/((Zl/tanβl) + iZo)))
+// for l = lamda/2 βl = (2* π/lamda)*(lamda/2) = π
+// therefore tanβl = 0 which gives Zi = Zl
+// in the second case when the operating frequency is halved, the wavelength is douβled which means the same line is now lamda/4 long
+// for l = lamda/4 ,βl = (2* π/lamda)*(lamda/4) = π/2
+// therefore tanβl = ∞
+Zi = (Zo^2)/Zl; // input impedance
+
+mprintf('Input impedance = %3.2f ohm',Zi);
+//------------------------------------------------------------------------------
+
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