Magnetic induction

Storyboard

An inductance is an element that by varying the current flowing through it generates a potential that opposes the same current flow. It operates as a system that dampens the current flowing through it. It works by means of a coil in which the current generates a magnetic field that in turn generates the potential that opposes the current.

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Magnetic Field around a Wire

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Magnetic Field around a Spiral

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Induction of current by magnetic field in motion

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Calculation of the electric potential

Equation

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The electric potential ($\varphi$) can be calculated from the base electrical potential ($\varphi_0$) and the electric field ($\vec{E}$) integrated along a path over the path element traveled ($d\vec{s}$):

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Induction current by magnetic field

Equation

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If the conductor moves through a magnetic field \vec{B} or the magnetic field with respect to the conductor with a speed \vec{v} a force is generated according to Lorentz's Law equal to

$F = q v B \sin \theta$

where it was assumed that the charge is q and the velocity is orthogonal to the magnetic field.

The force can be described by an induced electric field \vec{E} and this can be associated with a potential difference \Delta V divided by the length of the l of the driver

F=qE=q\displaystyle\frac{\Delta V}{l}

With this the induced potential is equal to

$\Delta V = l v B$

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