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

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SUMMARY

The discussion centers on the behavior of inductance and electromotive force (emf) in a coil of wire as current increases. It is established that inductance (L) is a physical quantity that remains constant for an air core inductor, regardless of the current. The equations L = (N * F_b) / I and emf = -L * (dI/dt) illustrate that while current increases linearly, the magnetic flux (F_b) also increases, counterbalancing the current's effect on inductance. Therefore, the emf remains constant despite changes in current.

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  • Understanding of inductance and its physical properties
  • Familiarity with the equations L = (N * F_b) / I and emf = -L * (dI/dt)
  • Knowledge of magnetic flux and its relationship to current
  • Basic concepts of air core inductors versus ferrite or iron core inductors
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  • Study the relationship between magnetic flux and current in electromagnetic systems
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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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