Induced EMF within a part of a parallel circuit?

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Discussion Overview

The discussion revolves around the effects of induced electromotive force (EMF) within a parallel circuit connected to a power supply. Participants explore the implications of induced EMF in a wire placed in a changing magnetic field, particularly focusing on how it interacts with the existing power supply voltage and the resulting current distribution in the circuit.

Discussion Character

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

Main Points Raised

  • One participant proposes that when wire (c) is subjected to a changing magnetic field, the induced EMF could either oppose or support the power supply, leading to different voltage outcomes.
  • Another participant points out a potential wiring error in the initial diagram, suggesting that the connections between the wires need clarification.
  • There are suggestions to visualize the circuit with resistors and induced EMF represented as a battery to better understand the effects on voltage.
  • Some participants express uncertainty about the resulting voltage and current in the circuit, particularly when considering the induced EMF's impact.
  • One participant calculates the current through a very thin wire with a resistance of 0.1Ω, suggesting that it could lead to a high current that might cause damage.
  • There is a discussion about whether the induced EMF constitutes a short circuit, with differing views on the implications of resistance in the circuit.
  • Several participants emphasize the importance of applying Kirchhoff's laws to analyze the circuit step by step, rather than jumping to conclusions.
  • One participant expresses confusion about how the induced EMF affects the overall voltage of the circuit versus the voltage across individual wires.
  • Another participant reflects on their struggles with understanding circuit theory and the emotional challenges associated with learning from mistakes.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effects of the induced EMF on the circuit. There are multiple competing views regarding the calculations of voltage and current, as well as the interpretation of short circuits in the context of resistance.

Contextual Notes

Some participants mention limitations in their diagrams and calculations, indicating that assumptions about resistance and the configuration of the circuit may affect the analysis. There is also uncertainty about the voltage at specific points in the circuit.

  • #31
WOW. I'm so confused about what is so confusing. Assume 3 legs with 100 ohms. Then assume a 5V EMF supply in one leg. It will have no effect on the other two legs because there is a 20V supply that keeps the voltage at a constant across all three legs. The current from the main supply will vary, but the voltage will be constant. If you add a 4th resistor in series with the 20V supply (and all three legs), THEN you will have interactions.

You need to draw a schematic with 4 resistors, 3 resistive legs, and 2 supplies. Then you have something to analyze.
 
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  • #32
meBigGuy said:
You need to draw a schematic with 4 resistors, 3 resistive legs, and 2 supplies. Then you have something to analyze.

i hope i addressed the right image.

Let's analyze the last circuit drawn. I've added to it in red...
let us write KVL twice, once around outside path and again around inside path

plow.jpg


Outside path:
-20supply -5induced +Vload = 0

inside path
-20supply -0across wire +Vload = 0

Rearranging,
Outside path Vload = 20supply +5induced
Vload = 25

Inside path Vload = 20supply +0across wire
Vload = 20

well,
there's only one Vload, so we can set the equations equal and get result 20 = 25
or
we can subtract the equations
Vload - Vload = 25 - 20
which yields 0 = 5

Kirchoff's law did not fail. It told us that analyzing an impossible circuit yields an impossible result.

MBG is right, one needs a plausible circuit to analyze.

Mr Phi just needs to become more adroit with his "idealized components".
The lumped element model of electronic circuits makes the simplifying assumption that the attributes of the circuit, resistance, capacitance, inductance, and gain, are concentrated into idealized electrical components; resistors, capacitors, and inductors, etc. joined by a network of perfectly conducting wires.

it'll come with practice. We learn from our mistakes - so make lots of 'em.
 
Last edited:
  • #33
I'd start by removing the short across the VS supply, or turn it into a resistor that's twice the value of the load. Then you will see what is basically going on.
 
  • #34
does this help ?

upload_2015-7-29_17-58-50-png.86556.png


An ideal wire is a superconductor.
You cannot change flux through a superconducting loop - Lenz's law says current in the loop will become whatever is necessary to keep flux constant.
Faraday tells us constant flux means no dΦ/dt, so no induced voltage.

We see that demonstrated often in levitation experiments.
www.youtube.com/watch?v=4W9HxLOvDus
 
  • #35
Well, I have a long way to go. Can't jump things in a matter of month/weeks lol.
But I'll start playing around with circuits soon, I've added that to the list of hobbies, but as an ME undergrad I doubt I'll invest much time into them.
 
  • #36
Electronics can be a lot of fun. Look into hobbyist kits. We learn by doing.
 

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