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

jonni
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Homework Statement


I'm a bit confused about how to find the phase equation of a lossy low pass filter
eg.
r6yf51.jpg


Homework Equations


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



The Attempt at a Solution



jja1is.jpg


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