Finding Amplitude and Phase of Complex Functions

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SUMMARY

The discussion focuses on determining the amplitude and phase of complex functions, specifically the examples 3+j5t and 3ej4t. The amplitude of the complex exponential function 3ej4t is confirmed to be 3. Participants clarify that t is treated as a variable, and the approach to finding amplitude and phase remains consistent with complex number principles. The conversation emphasizes the importance of understanding the representation of complex functions in terms of their amplitude and phase.

PREREQUISITES
  • Understanding of complex numbers and their representation
  • Familiarity with amplitude and phase concepts in signal processing
  • Knowledge of Euler's formula and its application
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the application of Euler's formula in complex analysis
  • Learn how to convert complex numbers to polar form
  • Research the significance of amplitude and phase in electrical engineering
  • Explore the use of complex functions in signal processing
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Students and professionals in mathematics, electrical engineering, and physics who need to understand the properties of complex functions and their applications in various fields.

hogrampage
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I can't seem to remember how to find the amplitude/phase of a complex function (I do know what to do for complex numbers, though). I know it's in my mind somewhere, but I just can't remember lol. So, for example, how would I find the amplitude/phase of:

3+j5t

and

3ej4t

EDIT: I know for 3ej4t, the amplitude is 3.

Thanks
 
Last edited:
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hogrampage said:
I can't seem to remember how to find the amplitude/phase of a complex function (I do know what to do for complex numbers, though). I know it's in my mind somewhere, but I just can't remember lol. So, for example, how would I find the amplitude/phase of:

3+j5t

and

3ej4t

EDIT: I know for 3ej4t, the amplitude is 3.

Thanks
Those are complex numbers, so where is the issue? I don't even see a function in your post.
t is a variable, so what - just treat it as an unknown number (probably real, especially if t is time).
 

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