Calculating Phase Shift for a Series RC Circuit

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Homework Help Overview

The discussion revolves around calculating the phase shift in a series RC circuit, specifically involving a resistor and a capacitor connected to a sinusoidal signal. The original poster presents a scenario with given values for resistance, capacitance, frequency, and impedance.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use multiple equations related to impedance and phase shift, including the tangent function to find the angle. Some participants question where the original poster is encountering difficulties in their calculations.

Discussion Status

The discussion is ongoing, with the original poster expressing uncertainty about their calculations after applying the equations. There is no explicit consensus yet, but participants are engaging with the problem and seeking clarification.

Contextual Notes

The original poster mentions that their calculated angle was incorrect, indicating potential issues with the application of the equations or assumptions made during the calculations.

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Homework Statement



A resistor of 362 Ohms is connected in series with a capacitor of 50.0 µF capacitance. A sinusoidal signal of f = 11.7 Hz experiences an impedance of 452.836 Ohms. Find the phase shift between the current and voltage at f = 11.7 Hz.

Homework Equations



I tried using the equation tan = (Xc)/R

Xc=1/(wC)

w=2(pi)f

Z=sqrt(R^2+(Xc)^2)
 
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Where are you stuck exactly?
 
Well, I used all four of those equations (specifically the first one b/c the question is asking for the angle), but when I plugged in my answer, it was wrong.

tan=(Xc)/R
theta=tan^-1(Xc/R)=37 degrees
 
Hmmm, let me read it again.
 

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