Skip to main content

Transients in First Order Circuits

  • Chapter
  • First Online:
Introduction to Transients in Electrical Circuits

Abstract

This chapter presents transients in first order circuits. Extensive number of examples are provided with their analytical and digital solution using the software ATP—Alternative Transients Program, using the graphical interface ATPDraw. For didactic reasons, the study is organized as a large collection of various case studies, where the fundamentals of circuit analysis, mathematical time domain solution of ordinary differential equations with singular forcing functions, and physical principles are presented in details. For example, “if all voltages and currents in a circuit remain finite, then the voltage at the terminals of a capacitance and the current through an inductance cannot be varied instantly”. Therefore, a continuous knowledge is acquired along this book, integrating fundamental electrical engineering concepts in transient circuit analysis and illustrating potential applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. AdkinsWA, Davidson MG (2012) Ordinary differential equations, undergraduate texts in mathematics. Springer

    Google Scholar 

  2. Boyce WE, Diprima RC (2002) Elementary differential equations and boundary value problems, 7th edn. LTC

    Google Scholar 

  3. Chicone C (2006) Ordinary differential equations with applications, 22nd edn. Springer

    Google Scholar 

  4. Close CM (1975) Linear circuits analysis. LTC

    Google Scholar 

  5. Doering CI, Lopes AO (2008) Ordinary differential equations, 3rd edn. IMPA

    Google Scholar 

  6. Irwin JD (1996) Basic engineering circuit analysis. Prentice Hall

    Google Scholar 

  7. Kreider DL, Kluler RG, Ostberg DR (2002) Differential equations. Edgard Blucher Ltda

    Google Scholar 

  8. Leithold L (1982) The calculus with analytical geometry, vol 1, 2nd edn. Harper & How of Brasil

    Google Scholar 

  9. Perko L (2001) Differential equations and dynamical systems, 3rd edn. Springer, New York

    Google Scholar 

  10. Stewart J (2010) Calculus, vol 1, 6th edn. Thomson

    Google Scholar 

  11. Zill DG, Cullen MR (2003) Differential equations, 3rd edn. Makron Books

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Goulart de Siqueira, J.C., Bonatto, B.D. (2021). Transients in First Order Circuits. In: Introduction to Transients in Electrical Circuits. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-68249-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-68249-1_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-68248-4

  • Online ISBN: 978-3-030-68249-1

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics