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Chapter 9 (B)

Chapter 9 (B). Band-Pass Filters (BPF) Circuits. Formulas. The phase angle is:. Series RLC BPF Example: Analysis. Design Formulas. Series RLC BPF Example: Design. Series RLC BPF Example: Design. Series RLC BPF Example: Design. Summary of Series RLC BPF.

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Chapter 9 (B)

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  1. Chapter 9 (B) Band-Pass Filters (BPF) Circuits

  2. Formulas

  3. The phase angle is:

  4. Series RLC BPF Example: Analysis

  5. Design Formulas

  6. Series RLC BPF Example: Design

  7. Series RLC BPF Example: Design

  8. Series RLC BPF Example: Design

  9. Summary of Series RLC BPF For Ideal Inductors (no internal resistance): • A0 = 0 dB • Q is inversely proportional to R. • Critical phase shift is 0 at the same frequency as the peak gain. • Analysis can be done by simply substituting components into the formulas. • In addition to the filter specifications, one of the components must be known for the design process to work.

  10. Formulas

  11. The phase angle is:

  12. // RLC BPF Example: Analysis

  13. Design Formulas

  14. // RLC BPF Example: Design

  15. // RLC BPF Example: Design

  16. // RLC BPF Example: Design

  17. Summary of // RLC BPF For Ideal Inductors (no internal resistance): • A0 = 0 dB • Q is proportionalto R. • Critical phase shift is 0 at the same frequency as the peak gain. • Analysis can be done by simply substituting components into the formulas. • In addition to the filter specifications, one of the components must be known for the design process to work.

  18. Simple Formulas -

  19. Active BPF Example: Analysis - -

  20. Active BPF Example: Design Determine the required capacitances if we want to build an active BPF with cutoff frequencies at 30 and 55 kHz. Let Ri = 1 kW and Rf = 2.5 kW.

  21. Summary of Active BPF • No need for inductors • Built-in gain • Cutoff frequencies can be computed separately from the input branch and from the feedback branch. • Critical phase shift is 180 at the same frequency as the peak gain. • Analysis can be done by simply substituting components into the formulas. • In addition to the filter specifications, one of the components in each branch must be known for the design process to work.

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