# What is total energy

## Acceleration in an electron gun

As a rule of thumb it is said that relativistic effects from speeds of

Relativistically, you can calculate the flight speed of the electrons as follows:

**10% of the speed of light**should be considered. This is the case with electrons at acceleration voltages from approx. 2.6 kV.Relativistically, you can calculate the flight speed of the electrons as follows:

The kinetic energy is the total energy minus the rest energy: \ [E _ {\ text {Kin}} = m _ {\ text {rel}} \ cdot c ^ 2 - m_ {e} \ cdot c ^ 2 \] Equation of kinetic energy with the performed Work \ (W _ {\ rm {el}} = U _ {\ rm {b}} \ cdot e \) of the E-field: \ [U _ {\ text b} \ cdot e = m _ {\ text {rel}} \ cdot c ^ 2 - m_ {e} \ cdot c ^ 2 \ quad (1) \] The masses \ (m _ {\ text {rel}} \) and \ (m_ {e} \) are determined by the Lorentz factor \ (\ gamma \) linked together: \ [m _ {\ text {rel}} = \ gamma \ cdot m_ {e} = \ frac {m_ {e}} {\ sqrt {1- \ frac {v ^ 2} { c ^ 2}}} \ quad (2) \] Inserting (2) into (1), excluding and dividing by \ (m_ {e} \ cdot c ^ 2 \) yields: \ [\ frac {U_ { \ text b} \ cdot e} {m_ {e} \ cdot c ^ 2} = \ frac {1} {\ sqrt {1- \ frac {v ^ 2} {c ^ 2}}} - 1 \] Add of 1 and squaring it leads to: \ [\ left ({1+ \ frac {U _ {\ text b} \ cdot e} {m_ {e} \ cdot c ^ 2}} \ right) ^ 2 = \ frac {1 } {1- \ frac {v ^ 2} {c ^ 2}} \] Form reciprocal values, multiply by -1 and add 1 yields: \ [\ frac {v ^ 2} {c ^ 2} = 1- \ frac {1} {\ left ({1+ \ frac {U _ {\ text b} \ cdot e} {m_ {e} \ cdot c ^ 2}} \ right) ^ 2} \] Multiplication by \ (c ^ 2 \) and pull the Root leads to: \ [\ bbox [5px, border: 2px solid red] {{v _ {\ text {relativistic}} = c \ cdot \ sqrt {1- \ frac {1} {\ left ({1+ \ frac {U _ {\ text b} \ cdot e} {m_ {e} \ cdot c ^ 2}} \ right) ^ 2}}}} \]

- Uncovered fiberglass insulation is dangerous to breathe
- What's the best junk food ever created
- What is PEI best known for?
- Who killed Aarushi Talwar 2
- Why does Quora offer such terrible answers
- Can a Catholic marry a Lutheran
- What is considered expensive for rich people
- How is the prison in Saudi Arabia
- What is being done to stop poverty
- People hate instakills in video games
- Who is the winner Kaithi or Bigil
- Which paradigm is the successor to OOP
- Will the US collapse in 2020?
- What is the Markov chain
- Can native English speakers understand Singl
- What is God's favorite color
- What is display style int frac dx x
- Is time a human construct 1
- Kills the mind on social media
- Shaving increases beard growth
- What is the tallest mountain ever photographed
- Linkedin sales teams use Salesforce
- Which operating system does the US defense use
- Can we calculate the variance of a statistic?