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Single-Time-Constant Circuits

This document discusses the reduction of electrical circuits to Single-Time Constant (STC) circuits utilizing Thévenin’s theorem. It illustrates the response of various circuits, including low-pass and high-pass STC circuits, and employs the principle of superposition to analyze circuit responses. Key figures depict the magnitude and phase response of these circuits when subjected to step functions and pulse signals, providing insights into their dynamic behavior and transfer functions.

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Single-Time-Constant Circuits

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  1. Single-Time-Constant Circuits 1

  2. Figure D.1 The reduction of the circuit in (a) to the STC circuit in (c) through the repeated application of Thévenin’s theorem.

  3. Figure D.2 Circuit for Example D.2.

  4. Figure D.3 The response of the circuit in (a) can be found by superposition, that is, by summing the responses of the circuits in (d) and (e).

  5. Figure D.3 (Continued)

  6. Figure D.4 STC circuits of the low-pass type.

  7. Figure D.5 STC circuits of the high-pass type.

  8. Figure ED.1

  9. Figure D.6 (a) Magnitude and (b) phase response of STC circuits of the low-pass type.

  10. Figure D.7 (a) An amplifier circuit and (b) a sketch of the magnitude of its transfer function.

  11. Figure D.8 (a) Magnitude and (b) phase response of STC circuits of the high-pass type.

  12. Figure ED.3

  13. Figure ED.6

  14. Figure D.9 A step-function signal of height S.

  15. Figure D.10 The output y(t) of a low-pass STC circuit excited by a step of height S.

  16. Figure D.11 The output y(t) of a high-pass STC circuit excited by a step of height S.

  17. Figure D.12 A pulse signal with height P and width T.

  18. Figure D.13 Pulse responses of three STC low-pass circuits.

  19. Figure D.14 Pulse responses of three STC high-pass circuits.

  20. Figure PD.6

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