Convert Time Domain to Phasor Domain with Euler's Formula

[chopficaro]

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

 

[ravioli]

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).