Electricity True, Apparent and Reactive power

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SUMMARY

The discussion focuses on calculating the "true" power in an electrical circuit where the power factor is improved from 0.707 to 0.866 by adding a 53 microfarad capacitor across a load connected to a 120 volt, 60Hz source. The participant has determined the capacitive reactance to be 50 ohms but is uncertain about how to calculate the total impedance of the circuit. Understanding the relationship between true power, apparent power, and power factor is crucial for solving this problem.

PREREQUISITES
  • Understanding of power factor and its implications in AC circuits
  • Knowledge of capacitive reactance and its calculation
  • Familiarity with impedance in electrical circuits
  • Basic principles of alternating current (AC) electricity
NEXT STEPS
  • Calculate total impedance in an AC circuit with capacitive components
  • Learn about the relationship between true power, apparent power, and reactive power
  • Explore the use of phasor diagrams for AC circuit analysis
  • Study the effects of power factor correction on electrical systems
USEFUL FOR

Electrical engineers, students studying AC circuit theory, and professionals involved in power factor correction and energy efficiency in electrical systems.

axegoufudo
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Electricity "True, Apparent and Reactive power"

This is the problem: "The power factor of a load on 120 volt, 60Hz source is raised from 0.707 to 0.866 power factor lagging by connecting a 53 micro-farad capacitor across the load. How can i solve for the "true" power?"

i know that power factor is the impedance angle which is the ratio of true-power and the apparent power or the resistance over the impedance.

i solved for the capacitive reactance which is 50 ohms that is connected across the load but i don't know how to get to the total impedance of the circuit.
 
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welcome to pf!

hi axegoufudo! welcome to pf! :wink:
axegoufudo said:
i solved for the capacitive reactance which is 50 ohms that is connected across the load but i don't know how to get to the total https://www.physicsforums.com/library.php?do=view_item&itemid=303" of the circuit.

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
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