Exact solution for the self-induced motion of a vortex filament in the arc-length representation of the local

Robert A Van Gorder1

  • 1Department of Mathematics, University of Central Florida, Orlando, Florida 32816-1364, USA. rav@knights.ucf.edu

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Mutual inductance arises when a current in one circuit produces a changing magnetic field that induces an emf in another circuit. On the other hand, self-inductance arises when the current passing through the circuit changes, creating a changing magnetic flux, resulting in inductance in the same circuit.
Consider a circuit connected to an AC source. As the current varies with time, the magnetic flux through the circuit correspondingly changes. Faraday's law tells us that an emf would therefore...
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The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
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