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

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.

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


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



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 ($d\vec{s}$):

equation=11519

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

equation=11521

therefore

equation


Examples

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 ($d\vec{s}$):

kyon

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

equation=3873

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

equation


>Model

ID:(1392, 0)