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Design two lumped element L section matching network at 500 MHz to transform ZL=200j100Ω to 100 Ω transmission line. Use smith chart.

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

Marks: 10M

1 Answer
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Given,

ZL=200j100Z0=100F=500MHz

ZL=ZLZ0=200j100100ZL=2jΩ

On Y circle downwards (Shunt Capacitor C),

∆y=y_a-y_L \\ y_L=0.4+j0.2 \\ y_a=0.4+j0.5\\ ∆y=j0.3

For shunt capacitor,

jw C Z_0=j0.3 \\ j×2π ×500 ×10^6×C×100=j0.3 \\ C=0.9549 pF

On Z circle upwards (Series Inductor L),

∆z=z-z_a \\ ∆z=j1.2

For Series Inductor L,

\frac{jwL}{Z_0} =j1.2 \\ \frac{j×2π ×500 ×10^6×L}{100}=j1.2 \\ L=38.1971 nH

Circuit -

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Smith Chart:

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