the first important machine for producing high energy

Last updated: 6/11/2023

the first important machine for producing high energy electrons The action of the betatron depends on the same fundamental principle as that of the transformer in which an alternating current applied to a primary coil induces an alternating current usually with higher or lower voltage in the secondary coil In the betatron secondary coll is replaced by a doughnut shaped vacuum chamber Electron produced in the doughnut from a hot filament are given a preliminary acceleration by the application of an electric field having potential difference of 20 kV to 70 kV when an alternating magnetic field is applied parallel to the axis of the tube two effects are produced 1 an electromotive force is produced in the electron orbit by the changing magnetic flux that gives an additional energy to the electrons 2 a radial force is produced by the action of magnetic field whose direction is perpendicular to the electron velocity which keeps the electron moving in a circular path Conditions are arranged such REVIEW BOOKLET 2021 JLLA PART IL PHYSICS that the increasing magnetic field keeps the electron in a circular orbit of constant radius The mathematical relation between the betatron parameters and electron parameters to ensure the above condition is called BETATRON condition If the orbit radius of the circular path traced by the electron is R magnetic field is B speed of the electron is v mass of the electron is m charge on the electron is o and is the flux within the orbit of radius R Then answer the following questions based on the above comprehension 7 8 MEGACOSM 9 What is the tangential force acting on the electron A evB e de 2 R di What is the value of dB G A eR C e do 2nR dt What is the BETATRON condition e do R dt A BeV de d C dt dt dimlv dit R B B D B Bev D e de RR dt ev R B ev R do dt dit D Data insufficient to determine 2 R 8