Application of complex numbers in Engineering?

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SUMMARY

Complex numbers are integral to various engineering applications, particularly in electrical engineering, where they are used to analyze phase differences in capacitive and inductive circuits. They also play a crucial role in digital signal processing, image processing, fluid flow, and stress analysis. Beyond basic applications, complex numbers are essential in understanding phenomena such as circular motion in motors and oscillations, demonstrating their widespread utility in advanced physics and engineering contexts.

PREREQUISITES
  • Understanding of complex numbers and their properties
  • Basic knowledge of trigonometry
  • Familiarity with electrical engineering concepts, particularly capacitive and inductive circuits
  • Introduction to digital signal processing techniques
NEXT STEPS
  • Explore applications of complex numbers in digital signal processing
  • Research the role of complex numbers in fluid dynamics
  • Study the use of complex numbers in stress analysis within materials science
  • Investigate the application of complex numbers in oscillatory motion and control systems
USEFUL FOR

Students in engineering and physics, electrical engineers, signal processing specialists, and anyone interested in the advanced applications of complex numbers in real-world scenarios.

AndreJ
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I'm currently studying complex numbers in my high maths class, moving onto trigonometry. I already know some applications of complex numbers, such as phase differences in capacitive and inductive circuits, but what other applications are there?

Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.
 
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AndreJ said:
Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.

Yes and yes.

Also in digital signal processing, image processing, fluid flow, stress analysis - there are a huge range of applications. Once you get past the "elementary" level, they turn up almost anywhere in physics or engineering.
 
what is aplication of complex no engineering
 

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