Convert Time Domain to Phasor Domain with Euler's Formula

AI Thread Summary
Euler's formula is essential for converting between the time domain and the phasor domain, simplifying complex number multiplication in polar format. Using phasors makes solving AC circuit problems more efficient compared to traditional methods like differential equations. While it's possible to solve these circuits without Euler's formula, utilizing it streamlines the process significantly. The polar notation enhances clarity and ease of calculations in circuit analysis. Ultimately, Euler's formula is a valuable tool for engineers dealing with phasors in electrical circuits.
chopficaro
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how is euler's formula useful? it must have something to do with converting from the time domain to the phasor domain and back, but i can do that without euler's formula
 
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Multiplication of complex numbers is easily done with polar format(euler's formula). So whenever you are solving circuits with phasors, it makes your life a lot easier. Sure you can do that without using the polar notation, but you can also solve a complicated AC circuit with basic differential equations and not the laplace transform(a.k.a phasors).
 

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