AC circuit with two components given phase angle

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SUMMARY

The discussion centers on identifying the components of an AC circuit with a voltage source of 1.20×101 V and a frequency of 60.0 Hz, where the current lags the voltage by 4.20×101 degrees. The analysis concludes that the circuit consists of an inductor (L) and a resistor (R), confirming it as an LR circuit type. The use of phasor diagrams and the equation tan(theta) = (XL - XC) / R were pivotal in this determination.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with phasor diagrams
  • Knowledge of impedance (Z) in AC circuits
  • Proficiency in trigonometric functions as applied to electrical engineering
NEXT STEPS
  • Study the principles of impedance in RLC circuits
  • Learn how to construct and interpret phasor diagrams
  • Explore the effects of phase angles on circuit behavior
  • Investigate the characteristics of inductors and resistors in AC circuits
USEFUL FOR

This discussion is beneficial for electrical engineering students, educators teaching AC circuit analysis, and professionals working with AC systems who need to understand component identification and circuit behavior.

Hyperfluxe
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Homework Statement


A circuit contains two elements, but it is not known if they are L, R or C. The current in this circuit when connected to a 1.20×101 V, 60.0 Hz source is 4.70 A and lags the voltage by 4.20×101 degrees.
a) What are the two elements? (Answer A,B or C)
CL
CR
LR

Homework Equations


Phasor diagram.
V=IZ
w = 2pi*f
tan(theta)=XL - XC / R

The Attempt at a Solution


From the phasor diagram for an AC circuit (or RLC circuit), usually the +y vector is for the inductor, the -y vector is for the capacitor, and the +x vector is for the resistor. Given that the phase angle is positive, I would say that the circuit is of type LR.
 
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Hyperfluxe said:

Homework Equations


Phasor diagram.
V=IZ
w = 2pi*f
tan(theta)=(XL - XC) / R

Given that the phase angle is positive, I would say that the circuit is of type LR.

It is correct.

ehild
 

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