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Class04_Examples - EXAMPLE 8-1 Neglecting losses and...

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Unformatted text preview: EXAMPLE 8-1 Neglecting losses and fringing effects and assuming the subStrate of a striph'ne to have a thickness 0.4 (mm) and a dielectric constant 2.25, (a) determine the required width w of the metal strip in order for the stripline to have a characteristic resistance of 50(9); (b) determine L and C of the line; and (c) determine up along the line. ((1) Repeat parts (a), (b), and (c) for a characteristic resistance of 75 (Q). SotUTIor-I a) We use Eqs. (8-17) and (8118) in Eq. (8-43) to find w: d ,u_ 0.4 x 10'3 fl—o 2—0 50 E _ 0.4 x 10—3 x 377 50.. X225 W: =.__2 x 10*3 (m), or 2 (mm). .4 b) L = {1% = 41:10"? x 07': 2.51 x 10‘7 (H/rn), or 0.251 (pH/n1). w 10—9 2 -12 C a 606,; — 361: x 2.25 x a — 99.5 x 10 (F/m), 99.5 (pF/rn). or, ) c c c = —- — — = —- I’LC ’(ME =j€= L12 1.5 d) Sincew is inversely proportional to Zn, we have, for Z": 75 (Q), wr-=(Z°)w =%)><2=1.33 (mm). =2 :4 108 (m/s). L": (“1)L=(_—2 )x0251=0.377 (,uH/m) w 1.33 1.33 C'_= fi)C=(—— )x99.5=66.2 (pF/m). w 2 u", = up = 2 x 108 (m/s). ...
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