Resistor, capacitor, and inductor in series

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SUMMARY

The discussion focuses on the behavior of a resistor, capacitor, and inductor connected in series across an AC generator. It establishes that power dissipation varies among these components, with the resistor being the primary element responsible for power loss. The impedance formula, Z = √(R² + (XL - XC)²), is crucial for understanding the relationship between resistance (R), inductive reactance (XL), and capacitive reactance (XC). The conversation emphasizes the need to differentiate between power dissipation in resistors versus reactive components like inductors and capacitors.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with impedance calculations
  • Knowledge of power dissipation in resistive and reactive components
  • Basic grasp of Ohm's Law and circuit analysis
NEXT STEPS
  • Study the concept of impedance in AC circuits
  • Learn about power factor and its impact on power delivery
  • Explore the equations for power dissipation in resistors, inductors, and capacitors
  • Investigate the role of phase difference in AC power systems
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in understanding power dissipation in AC circuits involving resistors, capacitors, and inductors.

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Homework Statement



A resistor, capacitor, and inductor are connected in series across an AC generator. Which of the following statements is true?

The power delivered by the generator does not depend on the phase difference between the generator voltage and current.
All the power is lost in the capacitor.
All the power is lost in the resistor.
All the power is lost in the inductor.
Power is lost in all three elements.


Homework Equations



I know that it has something to do with impedance... and the equation for that is Z=square root (R^2+(XL-XC)^2

The Attempt at a Solution


im not sure how this relates to losing power... or what equations i could use to reason it out. if anyone can point me in the right direction, i would really appreciate it. :)
 
Physics news on Phys.org
No. How is R different than L or C with regard to power dissipation? Write the expressions for power dissipated by an R, then a L, then a C.
 

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