Skip to main content

The Use of Complex Numbers in the Solution of Vector Problems

  • Chapter
Feedback Control Theory for Engineers

Abstract

In ยง2.4.4 the idea of representing sinusoidally varying quantities by means of vectors is introduced. In very simple problems vectors may be combined without undue difficulty. As the problems become more difficult however the algebra and triogonometry become exessively tedious and a simplifying technique is thus necessary. In this chapter the operator j will be introduced and it will be shown how apparently lengthy problems may be solved more simply.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

ยฉ 1968 P. Atkinson

About this chapter

Cite this chapter

Atkinson, P. (1968). The Use of Complex Numbers in the Solution of Vector Problems. In: Feedback Control Theory for Engineers. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7453-4_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-7453-4_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7455-8

  • Online ISBN: 978-1-4684-7453-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics