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    BETATRON

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    Mhaithan Hernandez Caliuag
    The betatron is a cyclic particle accelerator that uses changing magnetic fields to accelerate electrons in a circular path. It functions similarly to a step-up transformer, inducing higher energy in electrons through magnetic induction. Early betatrons were able to accelerate electrons up to 300 MeV for applications in particle physics experiments and producing energetic x-rays or gamma rays. However, the maximum energy attainable is limited by the strength of the magnetic field and size of the magnet core.

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    BETATRON

    Uploaded by

    Mhaithan Hernandez Caliuag
    187 views8 pages
    The betatron is a cyclic particle accelerator that uses changing magnetic fields to accelerate electrons in a circular path. It functions similarly to a step-up transformer, inducing higher energy in electrons through magnetic induction. Early betatrons were able to accelerate electrons up to 300 MeV for applications in particle physics experiments and producing energetic x-rays or gamma rays. However, the maximum energy attainable is limited by the strength of the magnetic field and size of the magnet core.

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    The betatron is a cyclic particle accelerator that uses changing magnetic fields to accelerate electrons in a circular path. It functions similarly to a step-up transformer, inducing higher energy in electrons through magnetic induction. Early betatrons were able to accelerate electrons up to 300 MeV for applications in particle physics experiments and producing energetic x-rays or gamma rays. However, the maximum energy attainable is limited by the strength of the magnetic field and size of the magnet core.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    187 views8 pages

    BETATRON

    Uploaded by

    Mhaithan Hernandez Caliuag
    The betatron is a cyclic particle accelerator that uses changing magnetic fields to accelerate electrons in a circular path. It functions similarly to a step-up transformer, inducing higher energy in electrons through magnetic induction. Early betatrons were able to accelerate electrons up to 300 MeV for applications in particle physics experiments and producing energetic x-rays or gamma rays. However, the maximum energy attainable is limited by the strength of the magnetic field and size of the magnet core.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    of 8

    BETATRON

    What is a betatron?
    A cyclic particle accelerator develop by Donald Kerst to accelerate electrons Word derives from B-particles

    Circuit equivalent of a step-up transformer

    First important machine for producing high energy electrons

    Betatron principle
    Using Amperes law ( = radius of a beam pipe)

    E . ds - d dt
    E =-1 2 d = 1 d 2 dt dt B = 2 d dt B

    Using Newtons law , we obtain for the final particle momentum

    d (mv) = - qE = q d B dt 2 dt

    mv = 1 q B 2

    Because the motion is perpendicular to the magnetic field, we have

    mv = qvB()

    mv = qpB()

    Where we find that according to the betatron principle, the relation between the field B () at the orbit P and the average field is

    B () = B

    Application
    Provide high energy beams of electron up to about 300 MeV (particle physics). The betatron can be used as a source of energetic x-rays or gamma rays

    Provide electrons can be converted into neutrons by a target to provide prompt initiation of some nuclear weapons

    Limitations
    The maximum energy that a betatron can impart is limited by the strength of the magnetic field due to the saturation of iron and by practical size of the magnet core

    Thank you!

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