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In an accelerator which applies an electrostatic field, accelerating energy
is limited by applied voltage. The voltage cannot be increased without
limit due to the potential electrical discharge. With a synchrotron, however,
the higher accelerating energy can be obtained by spinning charged particles
and applying an accelerating electric field at the right timing of the
particles passing through and thereby accelerating charged particles multiple
times.
Since the bigger electromagnet is required to spin particles within a fixed
orbit to produce higher energy, the energy level accelerated by synchrotron
is determined by the size of electromagnet.

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