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How does a cyclotron accelerate charged particles?

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A cyclotron accelerates charged particles using a combination of a constant magnetic field and an alternating electric field.12

The device consists of two hollow, D-shaped electrodes known as dees, placed within an evacuated chamber between the poles of a large magnet. Particles are introduced at the center of the gap between these dees.12

The acceleration process functions as follows:
* Electric Field: A radio-frequency oscillator creates an alternating voltage across the gap between the dees. As particles cross this gap, the electric field propels them, increasing their speed and energy.12
* Magnetic Field: Inside the hollow dees, there is no electric field. Instead, the uniform magnetic field forces the particles into a semicircular path.12
* Spiral Path: Because the electric field reverses polarity at a fixed frequency, the particles are accelerated every time they cross the gap. As their speed increases, the radius of their orbit grows, resulting in a spiral-like trajectory.12

This process continues until the particles reach high energies, though it is eventually limited by relativistic mass increases as the particles approach the speed of light.12