Transposition of formula(inductance)

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SUMMARY

The discussion focuses on deriving the formula for the inductance (L) of a coil, specifically a solenoid. The relationships provided include B/h = U, H = IN/l, and L = N x dphi/dI. The conclusion drawn is that the inductance can be expressed as L = N²/S, where S is defined as l/uA, with 'l' representing length and 'U' denoting absolute permeability. This derivation is essential for understanding inductance in electromagnetic systems.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically inductance and magnetic fields.
  • Familiarity with solenoid design and its parameters.
  • Knowledge of the relationship between magnetic flux (phi) and current (I).
  • Basic algebraic manipulation skills for deriving formulas.
NEXT STEPS
  • Research the derivation of inductance formulas for different coil geometries.
  • Study the principles of magnetic permeability and its impact on inductance.
  • Explore the application of Ampere's Law in calculating magnetic fields in solenoids.
  • Learn about the effects of coil dimensions on inductance and magnetic field strength.
USEFUL FOR

Electrical engineers, physics students, and anyone involved in designing or analyzing electromagnetic systems will benefit from this discussion.

NUMB_NUTS
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Hi i hope you can help me?
My question is:

Given the relationships:

B/h = U, H = IN/l and L = N x dphi/dI {ie, L = N x change in phi/change in I}.

show that the inductance of the coil is:

L = Nsquared/S Where S = l/uA ??

.l is lower case L for length
.U is absolute permeability.
your help would be most welcome please many thanks
 
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Have you got any ideas on how you might find the equation for the inductance of a solenoid?
 

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