User:


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.

>Model

ID:(1392, 0)


Magnetic Field around a Wire
Image

>Top



ID:(1933, 0)


Calculation of the electric potential
Equation

>Top, >Model


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 ($d\vec{s}$):

$ \varphi =\varphi_0 - \displaystyle\int_C \vec{E}\cdot d\vec{s}$

$\varphi_0$
Base electrical potential
$V$
5478
$\vec{E}$
Electric field
$V/m$
9687
$\varphi$
Electric potential
$V$
5479
$d\vec{s}$
Infinitesimal distance
$m$
5480

The potential difference ($\Delta\varphi$) is equal to the sum of the electric field ($\vec{E}$) along an integrated path over the path element traveled ($d\vec{s}$):

$ \Delta\varphi = -\displaystyle\int_C \vec{E}\cdot d\vec{s} $



As the potential difference ($\Delta\varphi$) is calculated by considering the electric potential ($\varphi$) minus the base electrical potential ($\varphi_0$):

$ \Delta\varphi = \varphi - \varphi_0 $



therefore

$ \varphi =\varphi_0 - \displaystyle\int_C \vec{E}\cdot d\vec{s}$

ID:(3844, 0)


Induction current by magnetic field
Equation

>Top, >Model


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 $

ID:(3220, 0)