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i'm trying to analyse equations of analogue electronic filters, but i can't get the "norm" of the complex polynom if i use variables (or symbols? what's the difference?), here's the simplest exemple (RC low pass filter, a represents R*C*w, reals variables > 0):

Assuming[ a \[Element] Reals && a > 0, Norm[1/(1 + a \[ImaginaryJ])]]

Norm[1/(1 + I a)]

The answer :

Norm[1/(1 + I a)] ----- the same thing!!!!

Re[] and Im[] doesn't work either!!

I will like to uses to find the argument (Arg[] doesn't work)

and after all, make my bode plots!!!

please help me, i'm new in mathematica!

Thanks