# Formula Specific Charge of a particle in a Magnetic Field Electric charge Mass Acceleration voltage Magnetic field Radius

## Electric charge

`$$ q $$`Unit

`$$ \mathrm{C} = \mathrm{As} $$`

Electric charge of the particle (e.g. 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 the following specific charge: \( \frac{q}{m} = - 1.758 \cdot 10^{11} \, \frac{\text C}{\text{kg} } \).

## Mass

`$$ \class{brown}{m} $$`Unit

`$$ \mathrm{kg} $$`

Mass of the 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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## Acceleration voltage

`$$ U_{\text B} $$`Unit

`$$ \mathrm{V} $$`

Accelerating voltage set, for example, in the electron gun in the teltron tube experiment to change the velocity of electrons or other charged particles.

## Magnetic field

`$$ \class{violet}{B} $$`Unit

`$$ \mathrm{T} = \frac{\mathrm{kg}}{\mathrm{A} \, \mathrm{s}^2} $$`

Magnetic flux density describes how strong the magnetic field is in which the charged particle moves.

## Radius

`$$ r $$`Unit

`$$ \mathrm{m} $$`

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.