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Formula Specific Charge of a Charged Particle in a Magnetic Field Mass    Velocity    Radius

Formula
Formula: Specific Charge of a Charged Particle in a Magnetic Field
Kreisbewegung einer Ladung im Magnetfeld
Lorentz force: electron in a magnetic field
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Electric charge

Unit
Electric charge of the particle (e.g. the electron) moving on a circular path in a magnetic field.

The ratio of the charge \(q\) to the mass \(m\) of the particle is called specific charge \( \frac{q}{m} \). For example, the electron has a specific charge \( \frac{q}{m} = - 1.758 \cdot 10^{11} \, \frac{\text C}{\text{kg} } \).

Mass

Unit
Mass of the charged particle.
  • If the particle is a electron, then the mass is \( m = 9.1 \cdot 10^{-31} \, \text{kg} \).
  • If the particle is a proton, then the mass is \( m = 1.67 \cdot 10^{-27} \, \text{kg} \).

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Velocity

Unit
Velocity of the particle. It is greater the stronger the magnetic field \(\class{violet}{B}\) and the smaller the mass \(m\) of the particle.

Magnetic field

Unit
Magnetic flux density, which describes how strong the magnetic field is as the charged particle moves.

Radius

Unit
Radius of the circular path on which the charged particle moves. By changing the magnetic field \(\class{violet}{B}\) you can easily make the radius \(r\) of the circular path larger or smaller.