Proving Q & I: Euler's Formula Needed

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  • Thread starter Thread starter SoulofLoneWlf
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SUMMARY

The discussion centers on the need for proofs related to electricity and magnetism, specifically using Euler's formula. The user seeks to demonstrate the relationship between charge (Q) and current (I) in phasor notation, as expressed in the equations Q = Re(Ae^(i[Phi])e^(i[omega]t)) and I = Re(i[omega]Ae^i[phi] e^{i[omega]t}). The mention of phasors indicates a focus on alternating current (AC) circuit analysis, where Euler's formula is essential for simplifying complex exponential expressions.

PREREQUISITES
  • Understanding of Euler's formula in complex analysis
  • Familiarity with phasor representation in AC circuit theory
  • Knowledge of electrical concepts such as charge (Q) and current (I)
  • Basic grasp of complex numbers and their applications in electrical engineering
NEXT STEPS
  • Study the application of Euler's formula in electrical engineering
  • Learn about phasor analysis in AC circuits
  • Explore the derivation of current and charge relationships in capacitors
  • Research advanced topics in complex impedance and its role in circuit analysis
USEFUL FOR

Students and professionals in electrical engineering, particularly those focusing on AC circuit analysis and the application of complex numbers in electrical systems.

SoulofLoneWlf
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Well just wondering if anyone knew of a place where i could find a proof for electricity and magnetism since it seems i will be needing a lot of these for example

prove
Q = Re(Ae^(i[Phi])e^(i[omega]t))

or show that I moving through a capacitor
I = Re(i[omega]Ae^i[phi] e^{i[omega]t

i mean looking at it, it will need eulers formula but how?
 
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google "phasors"
 
Awesome thanks should get me started :D
 

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