Resistor, capacitor, and inductor in series

In summary, when a resistor, capacitor, and inductor are connected in series across an AC generator, the power delivered by the generator is not affected by the phase difference between the generator voltage and current. However, power is lost in all three elements due to their respective impedance values. The power dissipated by each element can be calculated using the expressions for power dissipation specific to each element.
  • #1
goWlfpack
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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. :)
 
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  • #2
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.
 

1. What is the purpose of connecting a resistor, capacitor, and inductor in series?

The purpose of connecting these components in series is to create a series RLC circuit, which can be used for various applications such as filtering, tuning, and oscillation.

2. How does the total impedance of a series RLC circuit differ from a parallel RLC circuit?

In a series RLC circuit, the total impedance is the sum of the individual impedances of the resistor, capacitor, and inductor. In a parallel RLC circuit, the total impedance is the reciprocal of the sum of the individual admittances of the components.

3. What is the relationship between the voltage and current in a series RLC circuit?

In a series RLC circuit, the voltage across each component is equal to the total voltage of the circuit, while the current through each component is dependent on the impedance and frequency of the circuit.

4. How does the frequency affect the behavior of a series RLC circuit?

The frequency of the input voltage affects the behavior of a series RLC circuit by altering the impedance and phase angle of each component. At resonance, the impedance of the inductor and capacitor cancel out, resulting in a minimum impedance and maximum current in the circuit.

5. How does the placement of components in a series RLC circuit affect the overall behavior?

The placement of components in a series RLC circuit does not affect the overall behavior, as long as they are connected in series. However, the order in which the components are placed can affect the way the circuit is analyzed and the equations used to calculate the total impedance and current.

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