I'm working on an inverse laplace transform that involves complex poles.
The question is (4s^2 + 7s + 13)/((s+2)(s^2+2s+5))
I can succesfully reduce it via partial fractions, but there is a step where he has (1/2)(1+j) and converts this to (Root2)/2 x (Root2/2 + Root2/2 x j)
Also, he then converts that to Root2/2 Phasor(45)
Could anyone explain the 1/2 to Root2/2 conversion, as well as how phasor conversion work? Thank you.
The question is (4s^2 + 7s + 13)/((s+2)(s^2+2s+5))
I can succesfully reduce it via partial fractions, but there is a step where he has (1/2)(1+j) and converts this to (Root2)/2 x (Root2/2 + Root2/2 x j)
Also, he then converts that to Root2/2 Phasor(45)
Could anyone explain the 1/2 to Root2/2 conversion, as well as how phasor conversion work? Thank you.
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