Proving Q & I: Euler's Formula Needed

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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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Awesome thanks should get me started :D