What Is the Formula for Solenoid Magnetising Current?

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SUMMARY

The discussion focuses on the calculation of magnetizing current for solenoids, specifically addressing the difference between solenoid and transformer magnetizing currents. The formula for solenoid magnetizing current is derived from the solenoid equation B = μ₀ n i, where μ₀ represents permeability, n is the number of turns per unit length, and i is the current. The calculated magnetizing current (im) was found to be 798A, while the expected value was 794A, indicating a minor rounding error. The distinction is made that magnetizing current in solenoids is a fictitious concept compared to the actual current in transformers.

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  • Understanding of solenoid equations and magnetic fields
  • Familiarity with the concept of permeability (μ₀)
  • Knowledge of Faraday's law of electromagnetic induction
  • Basic electrical engineering principles related to current and flux
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  • Research the derivation of the solenoid equation B = μ₀ n i
  • Study the differences between magnetizing current in transformers and solenoids
  • Explore the implications of high-permeability cores on solenoid performance
  • Learn about the effects of rounding errors in electrical calculations
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Electrical engineers, physics students, and anyone involved in the design or analysis of solenoids and transformers will benefit from this discussion.

Suyash Singh

Homework Statement



Part d of attached question

Homework Equations


Solenoid equations
B=uo n i

The Attempt at a Solution


B (absence)=B (presence)
Uo n (i+im)=u n i
im=798A
But answer is 794A.[/B]
 

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I don't understand what you calculated, but such a small difference looks like a rounding error.
 
Suyash Singh said:

Homework Statement



Part d of attached question

Homework Equations


Solenoid equations
B=uo n i

The Attempt at a Solution


B (absence)=B (presence)
Uo n (i+im)=u n i
im=798A
But answer is 794A.[/B]
The answer should be M/H x 2A.
 
Can you guys give a formula for magnetising current for solenoid?Every book gives for transformer but not for solenoid
 
Suyash Singh said:
Can you guys give a formula for magnetising current for solenoid? Every book gives for transformer but not for solenoid
I just did, in post 3.

But you raise a good point: magnetizing current in a transformer is fundamentally different from magnetizing current in a solenoid. The latter term is actually rarely encountered. Why? Because it's a fictitious current whereas for a transformer it's very real.

For a solenoid, magnetizing current is defined to be the extra current that would be needed to restore the flux if the high-permeability core were removed.

For a transformer it's the actual primary current with the secondary open. It's the current needed to establish the flux given by Faraday's emf = -N d phi/dt. Note that emf = applied voltage - primary losses voltage drops.
 
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