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Published byOsborne Haynes Modified over 8 years ago
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Impedance Matching (1)
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Smith Chart Construction (The center line represents an axis where X=0.) (+) (-)
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z L =1±j
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Adding a Series Capacitance to an Impedance
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Adding an Inductor in Series Insertion of a series inductor to an impedance moves the impedance upward, causing a rotation clockwise along a constant circle of resistance
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Series Inductance Neg L High LLow L fixed frequency Insertion of a series inductor to an impedance moves the impedance upward, causing a rotation clockwise along a constant circle of resistance
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Adding a Capacitor in Series Insertion of a series capacitor to an impedance move impedance downward, causes a rotation counter clockwise along a constant circle of resistance
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Series Capacitance High C Low L Neg C fixed frequency Insertion of a series capacitor to an impedance move impedance downward, causes a rotation counter clockwise along a constant circle of resistance
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Admittance
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Admittance Example
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Method 1
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Method 2 1. Find the Z. 2. Rotate Smith Chart 180 degrees
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Smith Chart Construction (The center line represents an axis where X=0.) (+) (-) Conductance circle Inductive susceptance Rotate the impedance chart by 180 degrees Capacitive susceptance
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Adding a Shunt Capacitance Insertion of a shunt capacitor causes a rotation clockwise along a constant circle of admittance
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Adding a Shunt Capacitance High C Low C Neg C fixed frequency Insertion of a shunt capacitor causes a rotation clockwise along a constant circle of admittance
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Adding a Shunt Inductance Insertion of a shunt inductor causes a rotation counter clockwise along a constant circle of admittance
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Shunt Inductance Neg Ind High L Low L fixed frequency Insertion of a shunt inductor causes a rotation counter clockwise along a constant circle of admittance
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WBAN Matching Example
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Input impedance (100k,Cc1)
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Input Admittance (100k,Cc1)
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Adding a Shunt Inductance Insertion of a shunt inductor causes a rotation counter clockwise along a constant circle of admittance
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Effect of Adding L1 With L1
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Adding a Capacitor in Series Insertion of a series capacitor to an impedance move impedance downward, causes a rotation counter clockwise along a constant circle of resistance
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Effect of C2
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Adding a Shunt Capacitance Insertion of a shunt capacitor causes a rotation clockwise along a constant circle of admittance
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Effect of C1
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S11 at 1GHz Cc=1pF Rbias=100 k L1=40 nH C2=695 fF C1=5.5 pF
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