Theory behind investigating factors affecting inductance

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SUMMARY

This discussion focuses on investigating the factors affecting inductance in a DC circuit, specifically examining the number of turns on the coil, the core material, and the configuration of cores in series or parallel. The participant is utilizing the equation L = -ε ÷ (dI/dt) to analyze the relationship between self-induced EMF and inductance. Key questions include the equivalence of self-induced EMF to supply voltage and the derivation of equations for core material and circuit configurations. The discussion emphasizes the importance of understanding series and parallel inductance equations, particularly in the context of iron-cored solenoids.

PREREQUISITES
  • Understanding of inductance and its mathematical representation
  • Familiarity with the concepts of series and parallel circuits
  • Knowledge of self-induced EMF and its relationship to inductance
  • Basic principles of electromagnetism, particularly magnetic flux
NEXT STEPS
  • Research the equations for series and parallel inductance, including mutual inductance
  • Explore the effects of core material on inductance in iron-cored solenoids
  • Study the relationship between magnetic flux and the number of turns in a coil
  • Investigate the implications of dI/dt in DC circuits and its impact on inductance calculations
USEFUL FOR

Students and professionals in physics and electrical engineering, particularly those studying inductance, circuit design, and electromagnetic theory.

JohnayG
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Homework Statement



Hello,

I am currently doing an investigation to study the factors affecting inductance. The three variables i am using are the number of turns on the coil, the material of the core of the coil and putting 2 cores in series/parallel to see how this affects the inductance in a d.c circuit.

now i have done experiments for each whereby i measured V across inductor to allow me to work out I and therefore see the affect on L in L= -ε ÷(dI/dt)

i just have a couple of questions though. first of all, am i right in saying that my value for ε (self-induced emf) will the same as the supply voltage?

also, i am requesting some help with my theory work deriving the equation for each variable. i have done the theory for changing number of turns by showing how it affects the magnetic flux produced. but I am having problems with the other 2 variables i.e. changing the core/parallel & series circuits; where/what equation with should i start?

Any help hugely appreciated.
Thanks for your time.
 
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You don't say what kind of physics/engineering background you have. Have you seen the equations for series and parallel inductance, including mutual inductance? For iron-cored solenoids?

One immediate question: what is dI/dt in your equation, given that you are using DC?
 

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