RLC Circuit help - Trying to find Vs

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SUMMARY

The discussion centers on finding the source voltage (Vs) in an RLC circuit using given impedance values (Z) derived from capacitive reactance (XC) and inductive reactance (XL). The user, Dan, seeks guidance on whether to utilize a vector diagram or phasor diagram to determine Vs without specific current (I) or voltage (Vs) values provided. The consensus suggests leaving Vs as a variable and expressing answers in terms of Vs, while also considering complex-valued impedance for a more straightforward solution.

PREREQUISITES
  • Understanding of RLC circuit components and their behavior
  • Knowledge of capacitive reactance (XC) and inductive reactance (XL)
  • Familiarity with phasor diagrams and vector diagrams
  • Basic principles of complex-valued impedance
NEXT STEPS
  • Learn how to derive expressions using complex-valued impedance in RLC circuits
  • Study the application of phasor diagrams in AC circuit analysis
  • Research methods for solving for unknown voltages in RLC circuits
  • Explore the relationship between impedance, voltage, and current in AC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying AC circuit analysis who needs to understand RLC circuit behavior and voltage calculations.

dan2188
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Homework Statement



Hi All,

First time post so please excuse if i proceed in an irregular fashion.

I have the following query with regards to finding Vs on the attached JPEG. I have gained the total Z value for the circuit using both the XC & XL Values, however without having been given a I value or Vs value is there a way in which i can find the Vs value therefore allowing me to answer the question 1c (shown on the JPEG attachment for the current flow). Is there where i would need to be looking to draw a Vector diagram to find Vs values? Although i have researched and found that to be an option i still believe that the information i have, at hand, to be insufficent.

Any helpful explanations will be greatly appreciated.

Thank you.

Regards

Dan






Homework Equations



?

The Attempt at a Solution



Phasor diagram/ Vector Diagram?

 

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dan2188 said:

Homework Statement



Hi All,

First time post so please excuse if i proceed in an irregular fashion.

I have the following query with regards to finding Vs on the attached JPEG. I have gained the total Z value for the circuit using both the XC & XL Values, however without having been given a I value or Vs value is there a way in which i can find the Vs value therefore allowing me to answer the question 1c (shown on the JPEG attachment for the current flow). Is there where i would need to be looking to draw a Vector diagram to find Vs values? Although i have researched and found that to be an option i still believe that the information i have, at hand, to be insufficent.

I think you'll want to leave Vs as a variable and write the answers as expressions in terms of Vs. This is assuming that the problem doesn't specify the magnitude and frequency of the source Vs.

While you could use phasor diagrams to work out the problem, it might be easier to work with complex-valued impedance (if you've covered that in your course).
 

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