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Radio Frequency Integrated Circuit Design - Webs

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76 <strong>Radio</strong> <strong>Frequency</strong> <strong>Integrated</strong> <strong>Circuit</strong> <strong>Design</strong><br />

Similarly, for the case of the inductor,<br />

R p = R s (1 + Q 2 ) (4.9)<br />

2<br />

Q<br />

L p = L s�1 + Q 2�<br />

(4.10)<br />

For large Q, parallel and series L are about the same and similarly parallel<br />

and series C are about the same. Also, parallel R is large, while series R is small.<br />

4.5 Tapped Capacitors and Inductors<br />

Another two very common basic circuits that appear often are shown in Figure<br />

4.16. This is the case of two reactive elements with a resistance in parallel with<br />

one of the reactive elements. In this case, the two inductors or two capacitors<br />

act to transform the resistance into a higher equivalent value in parallel with<br />

the equivalent series combination of the two reactances.<br />

Figure 4.16 Narrowband equivalent models for (a) a tapped capacitor and resistor, and (b)<br />

a tapped inductor and resistor.

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