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Nuclear and Particle Physics

Thermionic emission and linear accelerators

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Overview

Recall questions on thermionic emission, the energy gained across an accelerating potential difference, why a magnetic field cannot change speed, and why drift tubes lengthen.

What you need to know

Answer each one before you reveal it.

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Numbers

What is thermionic emission, and how much kinetic energy does an electron gain across an accelerating potential difference?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is thermionic emission?

    Model answer

    It is the release of electrons from the surface of a metal when the metal is heated strongly.

  2. 2

    Why does heating a metal filament cause electrons to be emitted?

    Model answer

    Heating increases the kinetic energy of the free electrons in the metal until some of them have enough energy to overcome the attraction holding them and escape from the surface.

  3. 3

    How is an electron released by thermionic emission accelerated using an electric field?

    Model answer

    It is attracted across a potential difference towards a positive anode, and the electric field does work on it so that it gains kinetic energy.

  4. 4

    How much kinetic energy does an electron gain when accelerated from rest through a potential difference V?

    Model answer

    It gains energy eV, so for a non-relativistic electron ½mv² = eV.

  5. 5

    An electron is accelerated from rest through 2.5 kV. What speed does it reach?

    Model answer

    The energy gained is 1.60 × 10⁻¹⁹ × 2500 = 4.0 × 10⁻¹⁶ J, and rearranging ½mv² = eV gives v = √(2 × 4.0 × 10⁻¹⁶ ÷ (9.11 × 10⁻³¹)) = 3.0 × 10⁷ m s⁻¹.

  6. 6

    Why can a magnetic field never increase the speed of a charged particle?

    Model answer

    The magnetic force always acts at right angles to the velocity, so it does no work on the particle and can only change its direction.

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