What happens to a coil of wire as current is increased?

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Homework Help Overview

The discussion revolves around the behavior of a coil of wire as the current flowing through it is increased, specifically focusing on inductance and electromotive force (emf). The subject area includes concepts from electromagnetism and circuit theory.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between inductance and current, questioning whether inductance decreases as current increases. They discuss the implications of the equations for inductance and emf, and whether physical properties of the inductor affect inductance.

Discussion Status

Some participants have provided insights suggesting that inductance is a physical quantity not affected by current for certain types of inductors, while others are exploring how changes in current might influence magnetic flux and its relationship to inductance. Multiple interpretations regarding the effects of core materials on inductance are being considered.

Contextual Notes

Participants are discussing the properties of inductors, including air core versus ferrite or iron core inductors, and the implications of these properties on inductance and magnetic flux. There is an ongoing examination of the assumptions underlying the equations presented.

alexdr5398
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Homework Statement


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Homework Equations


L = (N * F_b) / I (where F_b is the magnetic flux)
emf = -L * (dI/dt)

The Attempt at a Solution


I originally thought that the inductance would decrease since it is inversely proportional to current. But, looking at the equation for emf, that would also mean that emf would decrease since L is decreasing and dI/dt is constant.
 
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alexdr5398 said:

Homework Statement


View attachment 194727

Homework Equations


L = (N * F_b) / I (where F_b is the magnetic flux)
emf = -L * (dI/dt)

The Attempt at a Solution


I originally thought that the inductance would decrease since it is inversely proportional to current. But, looking at the equation for emf, that would also mean that emf would decrease since L is decreasing and dI/dt is constant.
Your answer looks correct to me. The EMF is constant since the increase in I is linear. The inductance is a physical quantity, not affected by current (for an air core inductor). If the inductor had a ferrite or iron core, would that change your answer? :smile:
 
alexdr5398 said:
L = (N * F_b) / I (where F_b is the magnetic flux)

I originally thought that the inductance would decrease since it is inversely proportional to current.
If the current increases, would anything else on the right side of the above equation change?
 
berkeman said:
Your answer looks correct to me. The EMF is constant since the increase in I is linear. The inductance is a physical quantity, not affected by current (for an air core inductor). If the inductor had a ferrite or iron core, would that change your answer? :smile:

TSny said:
If the current increases, would anything else on the right side of the above equation change?

Oh, so the flux is increased by the increase in current which counters the current in the denominator?

And since inductance is a physical quantity, it can never be changed by the properties in a circuit?
 
alexdr5398 said:
Oh, so the flux is increased by the increase in current which counters the current in the denominator?
Yes. If the current doubles, then the flux doubles. So, the formula would leave L unchanged.

And since inductance is a physical quantity, it can never be changed by the properties in a circuit?
Yes. The inductance is determined by the physical properties of the inductor (size, shape, number of wraps, type of core, etc.) as berkeman pointed out.
 
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