Magnetic Coupled Circuit problem

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Discussion Overview

The discussion revolves around the placement of dots in a magnetic coupled circuit and the determination of mutual inductance based on given current and voltage conditions. Participants explore the implications of dot placement on the induced electromotive force (EMF) and current direction in the circuit.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests placing a dot at "A" for the primary winding but is uncertain about the secondary winding's dot placement, referencing Lenz's law.
  • Another participant proposes placing a dot at "C," arguing that the voltages VAB and VCD are in phase, indicating the same winding sense for both windings.
  • A participant emphasizes that dots work in pairs and that the direction of current flow is determined by the dot placement, stating that current flowing into the dot on one inductor causes current to flow out of the dot on its coupled partner.
  • One participant questions why current flows out of the dot on the coupled coil, seeking clarification on the underlying principles.
  • Another participant asserts that the current is taken outward to ensure that the magnetic flux due to both currents is additive.
  • A participant explains that the dots indicate the polarity of the induced EMF and the resulting current direction, linking changes in current to changes in magnetic flux and mutual inductance.
  • Some participants express discomfort with the concept of how dot placement indicates the polarity of the induced EMF, seeking further understanding.
  • One participant concludes that with dots placed at "A" and "C," the polarities at those points remain in phase.

Areas of Agreement / Disagreement

Participants express differing views on the placement of dots and the implications for current direction and induced EMF. There is no consensus on the correct placement or the reasoning behind it, indicating ongoing debate and exploration of the topic.

Contextual Notes

Participants reference Lenz's law and mutual inductance but do not fully resolve the implications of dot placement or the conditions under which their reasoning holds. The discussion remains exploratory, with various assumptions and interpretations present.

lazyaditya
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Q. In figure shown,if i1(t)=2tu(t) A,a voltage VCD =10u(t)mV is observed,then the placements of the dots and the value of mutual inductance M is what ?

Sine current is entering the primary winding so i place a dot at "A",but where should put a dot in secondary winding.I do know that according to the lenz's law emf should be induced in secondary winding so as to oppose the cause of induced emf.
 

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I think i should put a dot at "C" since the voltages VAB and VCD are in phase thus sense of winding will be at same position for both the windings,that will be at top.
 
Placing a single dot on one inductor does not solve the problem. The dots work in pairs, defining the relative phase or sense of the turns (wrapping direction) of the windings.

The rule of thumb is that a current flowing into the dot on one conductor will cause a current to flow out of the dot on its coupled partner. So that means the voltage produced across the winding must be conducive to making that current direction happen. You're given the current for the primary and the resulting voltage on the secondary...

Note also that with the dots correctly placed you could swap all the dots to the other ends of their inductors and have another correct solution.
 
Why it will cause current to flow out of the dot on the coupled coil.
 
Oh the current is taken outward so that flux due to both the currents must be additive. Am I correct ?
 
The current is caused by the changing magnetic flux. The dots are simply indicators to tell you what polarity of event will happen at one inductor if the current changes through another one. The convention is that an increase in current into the dot on one inductor will result in a current flowing out of the dot on the coupled inductor.

In one inductor a changing current means a changing magnetic flux. A portion of this changing flux is coupled to the other coil (mutual inductance) where a potential is induced and current made to flow. The dots tell you what polarity the induced EMF will be and the direction of the current that results given an increase in current into the dot on the other coil.
 
I am sorry but i am still not comfortable with this concept. How does dot tells what polarity the induced emf will be ?
 
lazyaditya said:
I am sorry but i am still not comfortable with this concept. How does dot tells what polarity the induced emf will be ?
An increasing current flowing INTO the dot on one inductor will cause an increasing current to flow OUT of the dot on the other inductor. If the current is flowing out of the dot the induced EMF must make that happen (so the load will draw that current).

Think of a schematic of a simple transformer with a resistive load on the secondary. The dots happen to be placed at the top of each winding. Increasing current flowing into the top of the primary will cause increasing current to flow out of the top of the secondary. So what polarity of potential drop occurs across the load? What does that tell you about the polarity of the EMF induced on the secondary?
 
Polarity of emf induced on secondary will be positive at top .
 
  • #10
lazyaditya said:
Polarity of emf induced on secondary will be positive at top .
Yup! :)
 
  • #11
So I will put one dot at "A" and the other dot at "C" so that polarity at point A and polarity at point C remains in phase.
 

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