How can we determine the self-inductance of a solenoid?

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SUMMARY

The discussion focuses on determining the self-inductance of a solenoid using the formula L = μAN²/length. A specific example is provided, where a solenoid with a length of 5 cm, a diameter of 0.15 cm, and 50 coils is analyzed. The concept of an ideal solenoid is clarified, emphasizing that it features perfectly straight and parallel magnetic field lines, unlike real solenoids that exhibit curved magnetic fields. The correct application of the formula leads to the calculation of self-inductance for modeling purposes.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically solenoid behavior.
  • Familiarity with the formula for self-inductance L = μAN²/length.
  • Knowledge of physical dimensions such as length, diameter, and number of coils.
  • Basic grasp of magnetic field concepts and ideal vs. real solenoids.
NEXT STEPS
  • Research the properties of ideal solenoids and their applications in electromagnetism.
  • Study the effects of coil diameter and length on self-inductance calculations.
  • Explore the differences between ideal and real solenoids in practical scenarios.
  • Learn about the role of permeability (μ) in determining inductance in various materials.
USEFUL FOR

Students studying electromagnetism, physics educators, and engineers involved in designing inductive components will benefit from this discussion.

bdh2991
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Homework Statement



For one of the problems in my homework it asks to prove that L=μAN^2/length ...i didnt have a problem with that osrt but the second part states a spring is 5cm long and has a diameter of .15 cm with 50 coils...how much self-inductance must you include for it to model as an ideal solenoid?


Homework Equations



L=AN^2μ/length

The Attempt at a Solution


I think I am just confused on what they mean by ideal solenoid...i ended up getting the answer right by just pklugging the numbers in but could someone explain what an ideal solenoid is?
 
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Sorry I can't help you with this self-inductance business, but I do know that an ideal solenoid is one in which the magnetic field lines are completely straight parallel lines inside and outside of the solenoid.

Real solenoids actually have bent magnetic field lines, which curve outwards when leaving the solenoid, and curve inwards when entering.
 

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