Calculate Phase Difference in RC Circuit w/ R, C & f

AI Thread Summary
In an RC circuit with two parallel branches—one containing two resistors in series and the other a resistor and capacitor in series—the phase difference of an AC signal can be calculated using the formula psi=atan(I(V)/R(V)), where R and I represent the real and imaginary parts. The phase relationship varies across components; voltage and current are in phase for resistors, while the voltage leads or lags the current for capacitors. The formal definition of phase can be derived from the equation y=Asin(fx+θ), but this approach may not yield accurate results for calculating phase difference in this context. For practical measurement, applying an alternating voltage and recording both voltage and current across each component is recommended. Understanding these relationships is crucial for analyzing AC circuits effectively.
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In an RC circuit, two parallel branches, one branch with two resistors in series, and the other with a resistor and a capacitor in series. What is the phase difference between the two parallel branches of an AC signal?

Have R, C, f. I was told I would be able to calculate this phase difference with;

psi=atan(I(V)/R(V)), Where "R and I are the real and imaginary parts." and that's all I've got. I know the formal definition of phase comes from
y=Asin(fx+θ) where psi=-θ/f, but this is apparently not correct. Please any hints/help!
 
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