V max of a RLC Circuit. Where did I go wrong?

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Discussion Overview

The discussion revolves around the calculation of maximum voltage (V max) in an RLC circuit, focusing on the correct approach to determining total impedance and its implications for voltage across circuit components. The context is primarily homework-related, involving the application of relevant equations and concepts in circuit analysis.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant states that the denominator in voltage calculations should represent the total impedance of the series circuit, emphasizing the need to combine reactances correctly.
  • Another participant reiterates the importance of finding the total reactance by summing reactances in quadrature, rather than using individual reactances (XC or XL).
  • A participant suggests a method to find I max by dividing emax by the total impedance, followed by calculating V max for each component using I max and the respective reactances and resistance.
  • A later reply confirms the proposed method for calculating V max as correct.

Areas of Agreement / Disagreement

Participants appear to agree on the necessity of calculating total impedance correctly, but there is no consensus on the initial approach taken by the original poster. The discussion remains somewhat unresolved regarding the specifics of the calculations.

Contextual Notes

There may be limitations in the original poster's assumptions about the circuit configuration and the definitions of reactance. The discussion does not clarify whether all relevant equations were provided or if additional context is needed for a complete solution.

mkematt96
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Homework Statement


Capture.PNG


Homework Equations


Xc= 1/(wc) Xl= wl . See picture for remaining relevant equations.

The Attempt at a Solution


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The denominator in each of your voltage calculations should represent the magnitude of the total impedance of the series circuit. You've not combined the reactances to find the total reactance, but just used either XC or XL individually, which doesn't give you the total impedance when they're summed in quadrature (square root of sum of squares).
 
gneill said:
The denominator in each of your voltage calculations should represent the magnitude of the total impedance of the series circuit. You've not combined the reactances to find the total reactance, but just used either XC or XL individually, which doesn't give you the total impedance when they're summed in quadrature (square root of sum of squares).
So find impedence, then divide emax by it to get I max. Then multiply that by R, Xl, and Xc to find my V max for each component ?
 
mkematt96 said:
So find impedence, then divide emax by it to get I max. Then multiply that by R, Xl, and Xc to find my V max for each component ?
That's the idea, yes.
 

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