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Diffstat (limited to '2219/CH2/EX2.12/Ex2_12.sce')
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1 files changed, 23 insertions, 0 deletions
diff --git a/2219/CH2/EX2.12/Ex2_12.sce b/2219/CH2/EX2.12/Ex2_12.sce new file mode 100755 index 000000000..82b5db14b --- /dev/null +++ b/2219/CH2/EX2.12/Ex2_12.sce @@ -0,0 +1,23 @@ +// chapter 2 example 12
+//------------------------------------------------------------------------------
+clc;
+clear;
+// given data
+// E = 40π e^j(10^9t + βz)ax
+// H = Hm e^j(10^9t + βz)ay
+// w/β = 1/sqrt(e*uo) = 3*10^8
+w = 10^9; // from given expression
+b = w/3*10^8
+Em = 40*%pi // from given expression
+// E/H = 120; // for free space
+
+Hm = Em/(120*%pi);
+//V * E = -∂B/∂t
+// =| ax ay az|
+// V*E =| ∂/∂x ∂/∂y ∂/∂t|
+// =|40π e^j(10^9t + βz) 0 0 |
+// V*E = jβ40π e^j(10^9t + βz) ay ----- 1
+// -∂B/∂t = uo*∂H/∂t = -j*10^9 *uo*Hm e^j(10^9t + βz)ay ----- 2
+// Comparing 1 and 2 shoes that Hm must be negative Hence Hm = -1/3 A/m
+mprintf('Hm = - %3.2f A/m',Hm);
+//------------------------------------------------------------------------------
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