What Is the Effective Current in an RLC Circuit with Given Parameters?

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SUMMARY

The discussion focuses on calculating the effective current in an RLC circuit with an applied AC voltage of 170 V at 60 Hz, comprising a 20.7 mH inductor, a 0.162 μF capacitor, and a 55.1 Ω resistor in series. The effective current is determined using the formula I(rms) = I/sqrt(2) and I = emf/Z, where Z is the impedance of the circuit. Additionally, the power factor is calculated using the formula power factor = R/Z, and the total power consumed in the circuit is expressed in watts (W).

PREREQUISITES
  • Understanding of RLC circuit components (inductors, capacitors, resistors)
  • Knowledge of AC voltage and frequency concepts
  • Familiarity with impedance calculations in electrical circuits
  • Proficiency in using formulas for effective current and power factor
NEXT STEPS
  • Study the calculation of impedance in RLC circuits
  • Learn about the relationship between voltage, current, and power in AC circuits
  • Explore the concept of resonance in RLC circuits
  • Investigate the effects of varying frequency on circuit behavior
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Electrical engineering students, circuit designers, and anyone involved in analyzing or designing RLC circuits in AC systems.

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Homework Statement



An effective AC voltage of 170 V at 60 Hz
is applied to an RLC circuit with 20.7 mH
inductor, 0.162 μF capacitor, and 55.1
resistor in series.


a) What is the effective current? Answer in
units of A.

b)What is the power factor of the circuit?

c) What is the power consumed in the circuit?
Answer in units of W.

Homework Equations



a) I(rms) = I/sqrt (2), I= emf/Z
b) power factor = R/Z



The Attempt at a Solution




im totally lost i know that those are the related equations but i have difficulties in solving .. since i don't understand this chapter well

need your help please
 
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thanx i got it now
 

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