Investigating Voltage-Inductance Relationship

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Discussion Overview

The discussion centers on the relationship between voltage, inductance, and current in inductors, particularly how inductance varies with changes in applied current over time. Participants explore mathematical relations and hypothetical scenarios involving inductance and saturation current.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the mathematical relationship between inductance and applied voltage with respect to time.
  • Another participant presents the equation V = L(di/dt), suggesting that a change in current is necessary for induced voltage, implying that greater changes in current lead to greater induced voltage.
  • There is a claim that inductance remains constant unless the current exceeds the saturation current of the inductor.
  • A participant questions the effect on inductance if the radius of a piece of copper wire changes when current flows through it.
  • Another participant references a Wikipedia page to explain that inductance drops when currents approach or exceed the saturation current, indicating a potential change in inductance under certain conditions.

Areas of Agreement / Disagreement

Participants express differing views on the nature of inductance in relation to current and saturation, with some asserting inductance is constant while others suggest it varies under specific conditions. The discussion remains unresolved regarding the exact implications of changing inductance and the effects of saturation current.

Contextual Notes

There are limitations regarding assumptions about the constancy of inductance, the definitions of saturation current, and the hypothetical scenarios presented, which may not be fully explored or defined.

rahul.6sept
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Dear all,

I would like to know how exactly the inductance varies with change in applied voltage with respect to time and if there is any mathematical relation for the same available.

Regards,
rc
 
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V = L[itex]\frac{di}{dt}[/itex]

Where V is voltage, L is inductance, i is current and t is time. There has to be a change in current else there will be no induced Voltage. So the greater the change in current, the greater the induced Voltage. Simple as that.
 
rahul.6sept said:
Dear all,

I would like to know how exactly the inductance varies with change in applied voltage with respect to time and if there is any mathematical relation for the same available.

Regards,
rc

The inductance is constant, unless the current through the inductor exceeds the saturation current of the inductor.
 
yes it was a typo, should have been applied current and not applied voltage.

1) But what will be effect in inductance in case of a piece of copper wire (considering hypothetically) whose radius changes when current flows through it ?

2) Also would like to know regarding the reply of berkeman ... what actually happens when applied current exceeds the saturation current of the inductor.Regards,
rc
 
Last edited:
rahul.6sept said:
2) Also would like to know regarding the reply of berkeman ... what actually happens when applied current exceeds the saturation current of the inductor.

The wikipedia page gives a pretty good explanation of saturation. Basically the inductance drops for currents that approach ane exceed Isat...

http://en.wikipedia.org/wiki/Saturation_(magnetic )

.
 
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