self-inductance

(noun)

The ratio of the voltage to the change in current in the same circuit.

Related Terms

  • mutual inductance
  • inductor

Examples of self-inductance in the following topics:

  • Inductance

    • Self-inductance, the effect of Faraday's law of induction of a device on itself, also exists.
    • where L is the self-inductance of the device.
    • A device that exhibits significant self-inductance is called an inductor, and given the symbol in .
    • Units of self-inductance are henries (H) just as for mutual inductance.
    • The self-inductance of a solenoid of cross-sectional area A and length ℓ is
  • Inductance

    • The answer is yes, and that physical quantity is called inductance.
    • The larger the mutual inductance M, the more effective the coupling.
    • Self-inductance, the effect of Faraday's law of induction of a device on itself, also exists.
    • where L is the self-inductance of the device.
    • A device that exhibits significant self-inductance is called an inductor.
  • RL Circuits

    • Recall that induction is the process in which an emf is induced by changing magnetic flux.
    • Mutual inductance is the effect of Faraday's law of induction for one device upon another, while self-inductance is the the effect of Faraday's law of induction of a device on itself.
    • An inductor is a device or circuit component that exhibits self-inductance.
    • The characteristic time $\tau$ depends on only two factors, the inductance L and the resistance R.
    • The greater the inductance L, the greater it is, which makes sense since a large inductance is very effective in opposing change.
  • Reasoning

    • We use many mental shortcuts when conducting inductive, deductive, abductive, and analogous reasoning to find a solution to a problem.
    • It is also closely identified with the ability to self-consciously change beliefs, attitudes, traditions, and institutions, and therefore indicates the capacity for freedom and self-determination.
    • In order to solve problems, we utilize four major forms of reasoning: deduction, induction, abduction, and analogy.
    • However, unlike deduction, induction, or abduction where at least one premise (or the conclusion) is general, analogy concerns itself only with specifics and particulars.
    • Differentiate between the processes of induction, deduction, abduction, and analogy, discussing heuristics that are used in these processes
  • Logic

    • Francis Bacon (1561-1626) is credited with formalizing inductive reasoning.
    • "Bacon did for inductive logic what Aristotle did for the theory of the syllogism.
    • Statistical inference is an application of the inductive method.
    • While inductive methods are useful, there are pitfalls to avoid.
    • Abduction is similar to induction.
  • Back EMF, Eddy Currents, and Magnetic Damping

    • Back EMF, eddy currents, and magnetic damping are all due to induced EMF and can be explained by Faraday's law of induction.
    • When the coil of a motor is turned, magnetic flux changes, and an electromotive force (EMF), consistent with Faraday's law of induction, is induced.
    • Lenz' law tells us the induced EMF opposes any change, so that the input EMF that powers the motor will be opposed by the motor's self-generated EMF, called the back EMF of the motor.
  • Regulating Immune Tolerance

    • Immune tolerance of self and harmless antigens occurs by deleting B and T cells that recognize those antigens, often near mucosal surfaces.
    • Processed antigens displayed on APCs are detected by T cells in the MALT and at various mucosal induction sites, such as the tonsils, adenoids, appendix, or the mesenteric lymph nodes of the intestine.
    • The primary mechanism for developing immune tolerance to self-antigens occurs during the selection for weakly, self-binding cells during T and B lymphocyte maturation.
    • Any T or B lymphocytes that recognize harmless foreign or "self" antigens are deleted before they can fully mature into immunocompetent cells.
    • There are populations of T cells that suppress the immune response to self-antigens.
  • Faraday's Law of Induction and Lenz' Law

    • This relationship is known as Faraday's law of induction.
    • The minus sign in Faraday's law of induction is very important.
    • As the change begins, the law says induction opposes and, thus, slows the change.
    • This is one aspect of Lenz's law—induction opposes any change in flux.
    • Express the Faraday’s law of induction in a form of equation
  • Proof by Mathematical Induction

    • Proving an infinite sequence of statements is necessary for proof by induction, a rigorous form of deductive reasoning.
    • The assumption in the inductive step that the statement holds for some $n$, is called the induction hypothesis (or inductive hypothesis).
    • To perform the inductive step, one assumes the induction hypothesis and then uses this assumption to prove the statement for $n+1$.
    • This completes the induction step.
    • Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes.
  • Sequences of Mathematical Statements

    • Sequences of statements are logical, ordered groups of statements that are important for mathematical induction.
    • Sequences of statements are necessary for mathematical induction.
    • Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers.
    • For example, in the context of mathematical induction, a sequence of statements usually involves an algebraic statement into which you can substitute any natural number $(0, 1, 2, 3, ...)$ and the statement should hold true.
    • This concept will be expanded on in the following module, which introduces proof by mathematical induction.
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