What is the Resonant Frequency of a Cyclotron?
f = qB/(2πm)
In this equation :
- f represents the resonant frequency, which is the frequency at which charged particles in a cyclotron achieve maximum acceleration.
- q denotes the charge of the particles being accelerated.
- B is the magnetic field strength applied in the cyclotron.
- m represents the mass of the particles.
The cyclotron is a particle accelerator that utilizes a magnetic field and an alternating electric field to accelerate charged particles, such as protons or electrons. The particles are injected into the center of the cyclotron and are then accelerated in a spiral path by the magnetic field.
The resonant frequency is the frequency at which the particles complete one full revolution in the cyclotron's magnetic field. It is crucial to synchronize the frequency of the applied electric field with the resonant frequency to ensure maximum acceleration.
The formula demonstrates that the resonant frequency is directly proportional to the product of the charge of the particles (q) and the magnetic field strength (B). It is inversely proportional to the mass of the particles (m). By adjusting the magnetic field or the frequency of the applied electric field, the resonant frequency can be tuned to match the desired particle characteristics and achieve efficient acceleration in the cyclotron.
Also Read : State Ampere's Law.
Also Read : Define Scalar and Vector Field.
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