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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
Definition

ID:(1933, 0)


Magnetic induction
Description

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.

Variables
Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$\varphi_0$
phi_0
Base electrical potential
V
$\vec{E}$
&E
Electric field
V/m
$\varphi$
phi
Electric potential
V
$ds$
ds
Infinitesimal distance
m
$l$
l
Length of coil
m
$B$
B
Magnetic flux density
T
$\Delta\varphi$
Dphi
Potential difference
V
$v$
v
Speed
m/s

Calculations

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Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

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Equations

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)

Examples

ID:(1392, 0)