Real and Imaginary part of this function please

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Paramonte
Paramonte 2019-6-5
评论： Paramonte 2019-6-6
Hi there, I have this expression:
syms R C w a real
assume(R>0)
assume(C>0)
assume(w>0)
assume(a>0)
z=R/(1+(R*C)*(i*w)^a)
z =
R/(C*R*(w*1i)^a + 1)
I want to get the real part of Z
>> real(z)
ans =
R*real(1/(C*R*(w*1i)^a + 1))
and the imaginary part of Z
>> imag(z)
ans =
R*imag(1/(C*R*(w*1i)^a + 1))
How do I get the true real and Imaginary parts?
Thank you for your time!

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采纳的回答

Walter Roberson
Walter Roberson 2019-6-5
simplify( rewrite(real(z), 'exp') )
simplify( rewrite(imag(z), 'exp') )

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