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ELEC5180: RF/Microwave Circuit Design and Measurement Course ...

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Resistor: besides its resistance, parasitics include lead inductance<br />

<strong>and</strong> contact capacitance.<br />

An approximate equivalent circuit for a<br />

resistor including parasitic elements<br />

• For small resistors, the parasitic inductance dominates the parasitic<br />

influence <strong>and</strong> will cause the impedance to rise at higher frequencies.<br />

• For large resistors, parasitic capacitance dominates the parasitic<br />

influence <strong>and</strong> will cause the impedance to drop at higher frequencies.<br />

Problem at high frequencies:<br />

- Increase of resistance due to Skin-Effect<br />

- Inductive reactive component<br />

- Capacitive reactive component<br />

- Resonances (very high frequencies)<br />

Ni/Cr, Tantalum Nitride (TaN),<br />

doped semiconductors<br />

Important features: stable resistance, lowtemperature<br />

coefficients of resistance,<br />

good heat dissipation capability,<br />

maximum length of less than 0.1 λg, low<br />

parasitics.<br />

<strong>ELEC5180</strong>, Kevin Chen, HKUST 33<br />

<strong>ELEC5180</strong>, Kevin Chen, HKUST 34<br />

Capacitor: a dielectric s<strong>and</strong>wiched by two metal plates<br />

C =<br />

εA<br />

d<br />

Packaging <strong>and</strong> material properties are important<br />

large packages <strong>and</strong> leads result in parasitic<br />

inductance <strong>and</strong> can be modeled as an inductance in<br />

series. Loss in the dielectric is modeled as a resistor<br />

parallel to the capacitance.<br />

Applications in circuits<br />

- Determination of resonance frequency in oscillators <strong>and</strong> frequency filters<br />

- <strong>RF</strong>-“short circuit“ (very small capacitive reactance)<br />

- DC blocking<br />

Some planar capacitor configurations<br />

Self-resonance: generated by the capacitance, along with the<br />

parasitic inductance, the resonance frequency may fall into your<br />

measurement range. A typical S<strong>RF</strong> (self-resonance frequency) for a<br />

10 pF high-Q ceramic capacitor is in the 2-4GHz range.<br />

<strong>ELEC5180</strong>, Kevin Chen, HKUST 35<br />

<strong>ELEC5180</strong>, Kevin Chen, HKUST 36

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