Making current and voltage in phase

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SUMMARY

The discussion focuses on determining the required series capacitance to ensure that current and voltage are in phase in a circuit with a coil connected to a 60Hz, 100V AC generator. The coil has an impedance of 11.1 ohms and a reactance of 8.8 ohms. The relationship between inductive reactance (X(L)) and capacitive reactance (X(C)) is established as X(L) = X(C). The calculation indicates that a capacitance of 1 Farad is necessary to achieve this condition.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with reactance and impedance concepts
  • Knowledge of the relationship between inductance and capacitance
  • Basic proficiency in using formulas involving frequency and reactance
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  • Study the principles of AC circuit analysis
  • Learn about the calculation of capacitive reactance in AC circuits
  • Explore the effects of phase difference in AC circuits
  • Investigate the use of phasors in analyzing AC circuits
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Electrical engineering students, circuit designers, and anyone involved in AC circuit analysis and design will benefit from this discussion.

snoweangel27
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Homework Statement


I have a coil that is connected to 60hz, 100V ac generator. At this frequency, the coil has an impedance of 11.1 ohms and a reactance of 8.8 ohms. I need to find what series capacitance is required so the the current and voltage are in phase.


Homework Equations


X(L) = X(c) ; X(L) = 1 / (wc)



The Attempt at a Solution


I have tried implemented the solution above, but I don't seem to be getting the correct answer. Any help would be greatly appreciated.
 
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X(L) = 1 / (wc)= 1 / (2pi*60hz*C)= 1 / (376.99 * C)= 8.8 ohms / CC = 8.8 ohms / X(L)C = 8.8 ohms / 8.8 ohms C = 1 Farad
 

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