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Magnetic induction
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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.
ID:(1392, 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.
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(ID 3220)
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 1933)
(ID 1934)
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}$ |
(ID 3844)
If the conductor moves through a magnetic field
| $ F = q v B \sin \theta $ |
where it was assumed that the charge is
The force can be described by an induced electric field
With this the induced potential is equal to
| $ \Delta V = l v B $ |
(ID 3220)
ID:(1392, 0)