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Smith Chart Calculations

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 APPENDIX
- Total Impedance Calculation:
Smith Chart Calculations:
πœ†π‘” = 3.98 π‘π‘š
49 π‘šπ‘š
= 1.231 πœ†
πœ†
π‘ŒπΏπ‘œπ‘Žπ‘‘ = 0.55 + 𝑗1.45
𝐷=
59 π‘šπ‘š
= 1.482 πœ†
πœ†
π‘Œπ‘†β„Žπ‘œπ‘Ÿπ‘‘−πΆπ‘–π‘Ÿπ‘π‘’π‘–π‘‘ = 4.2 + 𝑗2.7
𝐿=
𝒁𝑻𝒐𝒕𝒂𝒍 =
𝟏
π‘ŒπΏπ‘œπ‘Žπ‘‘ + π‘Œπ‘†β„Žπ‘œπ‘Ÿπ‘‘−πΆπ‘–π‘Ÿπ‘π‘’π‘–π‘‘
𝒁𝑻𝒐𝒕𝒂𝒍 = 𝟎. πŸπŸπŸ— − π’‹πŸŽ. πŸπŸŽπŸ’
Calculations for the Theoretical Value of the Short Cirucit Stub
Smith Chart Calculations: 𝑑1 = (0.5πœ† − 0.429πœ†) + 0.188πœ† = 0.259πœ†
𝑧𝐿 = 0.82 + 𝑗0.183
𝑑2 = (0.5πœ† − 0.429πœ†) + 0.312πœ† = 0.383πœ†
πœ†π‘” = 3.98 π‘π‘š
𝐿1 = 0.324πœ† − 0.25πœ† = 0.074πœ†
𝐿2 = 0.25πœ† + 0.176πœ† = 0.426πœ†
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