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4.1 - Inductance.md

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Self-Inductance

  • Self-inductance (L) is the ability of a circuit to oppose the magnetic flux that is produced by the circuit itself

  • Running a changing current through a circuit creates a changing magnetic field, which creates an induced emf that fights the change

  • Units are henrys (H)

    • C:\266298A5\73477446-49B2-471B-AFDD-BCD03931DCDD_files\image477.png
  • Self-inductance is purely a function of the circuit's geometry

Calculating Self Inductance

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  • Ratio of magnetic flux to current flow

  • C:\266298A5\73477446-49B2-471B-AFDD-BCD03931DCDD_files\image479.png

  • For inductor:

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  • For capacitor:

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Example 1: Self Inductance of s Solenoid

C:\266298A5\73477446-49B2-471B-AFDD-BCD03931DCDD_files\image482.png

  • Calculate the self-inductance of a solenoid of radius r and length L with N windings

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  • C:\266298A5\73477446-49B2-471B-AFDD-BCD03931DCDD_files\image484.png

Example 2: Calculating Self Inductance

  • Calculate the self-inductance of a solenoid with 3400 turns of wire if the solenoid is 9 cm long and has a diameter of 11 cm.

  • C:\266298A5\73477446-49B2-471B-AFDD-BCD03931DCDD_files\image485.png

Inductor, Capacitor, and Resistor

dt Mechanical VI k(V2 — VI spring bs 'U Electrical di i Cd@2 VI dt F = bd(V2 VI dt VI inerter damper 1 inductor capacitor 1 resistor