Phase and Bode Plots: Struggling to Understand High-Pass Filters

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    Bode Phase Plots
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Understanding phase plots for high-pass filters and LCR circuits involves expressing the gain in polar form. To find the phase, start by converting both the numerator and denominator of the transfer function into polar coordinates. The phase can then be determined from the angle of the resulting complex expression. The equation mentioned, tan(φ) = tan⁻¹[tan(something) - tan(something)], is likely related to the phase difference between the input and output signals. Mastering these concepts will enhance the ability to accurately draw Bode plots for various filter types.
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Homework Statement


I am really struggling to understand how to draw a phase plot for circuits such as low/high-pass filters and other LCR circuits. I understand how to find the gain and use this information to make a Bode plot but when it comes to phase I just don't even know where to begin.
My notes seem to indicate some sort of equation along the lines of tan(phi)= tani^-1[tan(something) -tan(something)] but I haven't a clue what the 'somethings' are.


Homework Equations


If I take a simple high pass filter... G= jwCR/(1+jwCR).. how can I find the phase from this, help!


The Attempt at a Solution

 
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Start by expressing the numerator and denominator in polar form reiϕ. Then you can easily find G in polar form.
 

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