Calculating Phase Angle in an AC Circuit: Practical vs. Theoretical Approaches

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SUMMARY

The discussion focuses on calculating the phase angle in an AC circuit comprising a resistor and capacitor in series at a frequency of 1760 Hz. The theoretical phase angle was determined using the formula arctan(wRC), but practical measurement methods were sought. The key insight is that if the 15 ms peak-to-peak separation corresponds to half of the oscillation period, the phase angle is 180°, while a quarter period indicates a phase angle of 90°.

PREREQUISITES
  • Understanding of AC circuit components, specifically resistors and capacitors.
  • Familiarity with phase angle concepts in electrical engineering.
  • Knowledge of oscillation periods and frequency calculations.
  • Proficiency in using trigonometric functions, particularly arctan.
NEXT STEPS
  • Research the calculation of phase angles in R-C circuits using both theoretical and practical methods.
  • Explore the relationship between frequency and oscillation period in AC circuits.
  • Learn about oscilloscopes and their use in measuring phase differences in electrical signals.
  • Investigate advanced AC circuit analysis techniques, including phasor diagrams.
USEFUL FOR

Electrical engineers, students studying circuit theory, and technicians involved in AC circuit design and analysis will benefit from this discussion.

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Hi , there is a circuit with AC voltage with a resistor followed by a capacitor in series, and at frequency 1760 Hz I need to know phase angle, the peak to peak separations for the voltage source to the voltage across the capacitor is 15 ms...how do I find the phase angle?

I already found it theoretically using arctan (wRC), but I'm not sure how to do it practically.

Thanks.
 
Last edited:
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anyone?
 
Compare the 15 ms to the time for a full oscillation period.

If the 15 ms were one-half of a period, then the phase angle is 180°.
If it's a quarter of a period, the phase s 90°.
Etc.
 

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