Difference voltage in LRC-series

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SUMMARY

The discussion focuses on measuring effective voltages in an LRC-series circuit consisting of a 2mH inductor, 1mF capacitor, and 10Ω resistor powered by a transformer. The measured effective voltage (Vob) was 2.07V, while the sum of individual voltages across the components (Vr, Vc, Vl) was 3.25V, resulting in a discrepancy of 1.18V. The participants suggest dielectric losses and hysteresis as potential causes for this difference, while also questioning the phase relationship of the voltages and the transformer setup.

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  • Understanding of LRC-series circuit behavior
  • Knowledge of effective voltage measurement using a digital multimeter
  • Familiarity with AC circuit analysis and phase relationships
  • Basic principles of dielectric losses and hysteresis in electrical components
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Pietervv
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Homework Statement


Our setup:
Connect the transformer to an LRC-series circuit(L= 2mH with iron core,C=1mF and R=10Ω). Use the 2V and 6V outputs of the transformer, the effective voltage supplied by the transformer will then be 2 V.

Use the digital multimeter to measure the effective voltages(Vob) across the LRC-series, and the voltage across each component. Compare Vr+Vc+Vl with Vob. Qualitatively explain the difference.

Well our measured Vob was close to 2V ofcourse:2,07V
Vr=1,85V
Vc=0,68V
Vl=0,72V

So the sum of al the voltages across the components is 3.25V.

So a difference of 1,18V

So my question is how to qualitatively explain the difference

Homework Equations

The Attempt at a Solution


i though the causes are Dielectic losses and losses by hysteresis, but i am not sure about that and i can't argue why these losses will increase the voltage of the components.
 
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Pietervv said:

Homework Statement


Our setup:
Connect the transformer to an LRC-series circuit(L= 2mH with iron core,C=1mF and R=10Ω). Use the 2V and 6V outputs of the transformer, the effective voltage supplied by the transformer will then be 2 V.

Use the digital multimeter to measure the effective voltages(Vob) across the LRC-series, and the voltage across each component. Compare Vr+Vc+Vl with Vob. Qualitatively explain the difference.

Well our measured Vob was close to 2V ofcourse:2,07V
Vr=1,85V
Vc=0,68V
Vl=0,72V

So the sum of al the voltages across the components is 3.25V.

So a difference of 1,18V

So my question is how to qualitatively explain the difference

Homework Equations

The Attempt at a Solution


i though the causes are Dielectic losses and losses by hysteresis, but i am not sure about that and i can't argue why these losses will increase the voltage of the components.
Are you sure about adding the voltages algebraically? Are they in phase?? Use AC fundamentals..
 
Last edited:
It is not clear how using the 2 V and 6 V outputs of the transformer will yield an effective output of 2 V. What aren't you telling us about the transformer setup?

What is the frequency of the voltage source supplying the transformer? It can be location dependent (e.g. European versus North American power standards).
 

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