Induced current in a circular loop

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Discussion Overview

The discussion revolves around a circular conducting loop with varying resistance and an induced electromotive force (emf). Participants explore the implications of the loop's geometry and resistance on the current and voltage readings when a voltmeter is connected across specific points. The scope includes theoretical reasoning and mathematical analysis related to electromagnetic induction and circuit behavior.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a scenario involving a circular loop with two different resistances and a 5V induced emf, questioning the resulting current and voltmeter reading.
  • Another participant clarifies the loop's geometry, emphasizing the need for reasoning and calculations regarding the current and voltmeter readings.
  • Concerns are raised about how to determine the voltage drop across the resistors, with participants debating which resistance value to use in calculations.
  • Some participants suggest inserting an ideal voltmeter to clarify voltage measurements, while others question how to apply Kirchhoff's laws in this context.
  • There is a discussion about the resistance between probes placed at different points on the loop, with calculations proposed for various configurations.
  • Participants express uncertainty about how the geometry of the circuit affects the analysis and the interpretation of the problem.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to approach the problem, with multiple competing views on the interpretation of the circuit and the application of electrical principles. The discussion remains unresolved regarding the correct method for calculating the current and voltage readings.

Contextual Notes

Participants highlight the importance of the loop's geometry and the specific placement of voltmeter probes, indicating that these factors may significantly influence the analysis. There is also mention of the limitations of applying Kirchhoff's laws in this scenario.

  • #31
DrZoidberg said:
If there is no solid core you can move the voltmeter above the coil and get a voltage that's somewhere in between +4.17 and -0.83 or -4.17 and + 0.83 depending on which way around you connected the meter. At some point it will read 0 but that point is probably not exactly above the coil because the setup is not symmetric since the two resistances are different.
Well I have studied the circuit using surface charge feedback mechanism too..My calculations for voltmeter reading match for both the cases (left and right side) with those done using your suggested method..:smile::smile: Exactly above the coil, the voltmeter will read 1.67 V, not 0 ,as you correctly predicted using the symmetry argument:smile:..Thanks again for your help..
 
Last edited:

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