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Design two lumped element L section matching network at 1 GHz to transform ZL=10j10Ω to 50Ω transmission line. Use smith chart.

Mumbai University > Electronics and Telecomm > Sem 7 > Microwave & Radar Engineering

Marks: 5M

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Given,

ZL=10j10Z0=50F=1GHz

ZL=ZLZ0=10j1050ZL=0.20.2jZa=0.2j0.4(Refer Smith chart 2)Z=y=1ya=1+j2

On Z Circle Downwards (Series Capacitor C),

z=zzaz=j0.2

For Series Capacitor C,

1jwCZ0=j0.21j×2π×1×109×C×50=j0.2C=15.91pF

On Y Circle Upwards (Shunt Inductor L),

y=yyay=j2

For Series Inductor L,

Z0jwL=j250j×2π×1×109×L=j2L=3.97nH

Circuit

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Smith Chart:

enter image description here

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