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+// Chapter 3 example 12
+//------------------------------------------------------------------------------
+clc;
+clear;
+// Given data
+a   = 4*10^-2;          // width of waveguide 
+b   = 2*10^-2           // narrow dimension of waveguide
+er  = 4;                // dielectric constant
+c   = 3*10^8            // velocity in m/s
+
+// Calculations
+lamda_c     = 2*a;      // max cut-off wavelength
+fcmin       = c/lamda_c // min freq
+lamda_d     = lamda_c/sqrt(er);     // wavelength if we insert dielectric
+fc          = c/lamda_d             // min frequency in presence of dielectric
+
+// Output
+mprintf('Minimum Frequency that can be passed with dielectric in waveguide is %3.1f Ghz',fc/10^9);
+//-------------------------------------------------------------------------------
+
+