What are some practical uses for complex numbers?

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SUMMARY

Complex numbers are essential in solving real-world problems, particularly in electrical engineering through the concept of impedance. The standard approach involves starting with real variables, incorporating the imaginary component, performing calculations, and then extracting the real value from the results. This method is widely applicable in various fields, including signal processing and control systems. Resources such as Wikipedia provide extensive information on electrical impedance and its applications.

PREREQUISITES
  • Understanding of basic algebra and calculus
  • Familiarity with electrical engineering concepts, particularly impedance
  • Knowledge of complex number operations
  • Basic understanding of signal processing techniques
NEXT STEPS
  • Research "Electrical Impedance and its Applications" for practical examples
  • Explore "Complex Number Operations in Signal Processing" for advanced techniques
  • Study "Control Systems using Complex Numbers" for real-world applications
  • Learn about "Fourier Transforms and Complex Numbers" for further insights
USEFUL FOR

Electrical engineers, students in engineering disciplines, and anyone interested in applying complex numbers to solve practical problems in technology and science.

avery
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hi,

I am looking for any example (complete calculus) using Complex Numbers to solve real problems.

is the right approach:

1- starting with real variables
2- adding the imagine part
3- calculation...
4- extracting only the real value from the result.

?

thx.
 
Physics news on Phys.org
A standard application of complex numbers is in electrical circuits with the notion of impedance. There are tons of places to read about that on the internet. Try Google, or you might start with

http://en.wikipedia.org/wiki/Electrical_impedance
 

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