Ex7: Calculate the line parameters R, L, G, C for a coaxal line with an inner conductor diameter of 0.5 cm and outer conductor diameter of 1 cm, filled with an insulating material where u=po, x=4.5, and o=103 S/m. the conductors are made of copper with uc=plo and o=5.8x10-7S/m. the operating frequency is 1 GHz. Solution: a=0.5/2) cm=0.25x102 m b=(1/2)cm = 0.5x10 m 1 sfHc1 R= (1047X10-7) 5.8x10 10.25x10-2 = 0.788 /m 20 0.5x 103 4X10-7 In2 = 139 nH/m 2 2 In(a) 21 x 10- G= In 2 G9.1 ms/m 2 27Ero C= in(b) in(/a) 27 x 4.5 x (8.854 x 10-12) C= In 2 C# 362 pF/m Ex:8 Find for above example, a,, up, and Z. Solution: y=/(R+ joL) (G + jwC) (0.788 + j(210 x 10) (139 x 10-9) X (9.1 x 10-3) + (216 x 10(362 x 10-12) = (109 x 10-3 + j44.5) m-1 Thus a=0.109 Np/m and B=44.5 rad/m Zo = (R+jOL)/(G+ jwC) (0.788 + j(210 x 10')