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Betatrons - MIT

Betatrons32611 BetatronsThe betatron [ Kerst, Phys. , 841 (1940)] is a circular induction accelerator usedfor electron acceleration. The word betatron derives from the fact that high-energy electrons areoften called$-particles. Like the linear induction accelerator, the betatron is the circuitequivalent of a step-up transformer. The main difference from the linear induction accelerator isthat magnetic bending and focusing fields are added to confine electrons to circular orbits aroundthe isolation core. The beam acts as a multi-turn secondary. A single-pulsed power modulatoroperating at a few kilovolts drives the input; the output beam energy may exceed 100 MeV. Themaximum electron kinetic energy achieved by Betatrons is about 300 MeV.

Betatrons 331 dE b (eV0/2 R) 2E b/mi t. (11.4) dE ½ b/E b (V0/2 R) 2e2/m i t. (11.5) 2. The beam in an induction accelerator makes a single pass through the machine. The equivalent circuit is a transformer with a single-turn secondary and multiple parallel primary

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