Complex impendance in RL circuit

[shakaflaka]

Homework Statement

I have to show that the impendance of a parallel RL circuit would be the same in measure as the impendance of a non-parallel RL circuit (sry, don't know how to express this in English). I have to show this so that the inductivity stays the same in both cases but the resistance can be changed. I'm not very good with complex algebra, so does anyone have an idea how can I do it? Thanks

 

[cupid.callin]

check this: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlcpar.html

 

[gneill]

Can you write two expressions, one each for the impedance of the series and parallel circuits where the resistances are Rs and Rp respectively? I'm afraid that you won't be able to avoid doing some complex algebra.