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ID:(336, 0)

Equation

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La ecuación de movimiento se deriva del equilibrio entre la fuerza generada por the magnetic flux density ($B$) actuando sobre the charge ($q$) y the particle mass ($m$), que se desplaza con the particle speed ($v$) a the radius ($r$). Esto se expresa mediante la siguiente relación:

$m \displaystyle\frac{ v ^2}{ r }= q v B$

Conditions

Variables

$B$

Magnetic flux density

$kg/C s$

5512

$m$

Particle mass

$kg$

5516

$v$

Particle speed

$m/s$

8630

$r$

Radius

$m$

8755

$q$

Test charge

$C$

8746

Relation

ID:(3229, 0)

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ID:(1705, 0)

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ID:(1938, 0)

Description

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ID:(804, 0)

Equation

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The force \vec{F} that represents mathematically as current the electric fields \vec{E} and magnetic \vec{B} on a particle is called Lorentz's law. If the particle charge is q and it has a velocity \vec{v} the Lorentz force will be

ID:(3219, 0)

Equation

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The force ($F$), which generates the magnetic flux density ($B$) on the charge ($q$), moving under a angle between speed and magnetic field ($\theta$) with the speed ($v$), is expressed as:

$F = q v B \sin \theta$

Conditions

Variables

$\theta$

Angle between speed and magnetic field

$rad$

5513

$F$

Force

$N$

4975

$B$

Magnetic flux density

$kg/C s$

5512

$v$

Speed

$m/s$

6029

$q$

Test charge

$C$

8746

Relation

ID:(3873, 0)

Image

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ID:(1939, 0)

Image

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ID:(1940, 0)

Equation

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The orbit at a radius of gyration of particle in magnetic field ($r$) depends on the particle mass ($m$), the speed ($v$), the charge ($Q$), and the magnetic flux density ($B$), and is described by the following relationship:

$r =\displaystyle\frac{ m v }{ q B }$

Conditions

Variables

$B$

Magnetic flux density

$kg/C s$

5512

$m$

Particle mass

$kg$

5516

$r$

Radius of gyration of particle in magnetic field

$m$

5514

$v$

Speed

$m/s$

6029

$q$

Test charge

$C$

8746

Relation

Development

None

ID:(3874, 0)