How Do You Find the Phase Equation of a Lossy Low Pass Filter?

[jonni]

Homework Statement

I'm a bit confused about how to find the phase equation of a lossy low pass filter
eg.

Homework Equations

For a normal low pass filter it's just arctan(wRC)

The Attempt at a Solution

So I am comparing this by subbing in values and comparing to a bode plot of an actual circuit on a breadboard and a spice version of the circuit. But this is nothing like what i get in spice, I've checked for errors but I think its something wrong with the way I am actually calaculating it... but can't figure out why?

 

[Antiphon]

You multplied by the negative of the conjugate. This will screw up your phase equation.

 

[jonni]

Oh thanks so much! Worked out fine now. I feel so stupid haha, i soooo wasn't thinking when i did that! I get the exact same thing except in the last line it's +1 not -1. Makes a big difference though.