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  • Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were doubled.

Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were doubled.

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To reverse the polarity of the dees at the same time as it takes the ion to complete the one-half revolution, the frequency of the voltage va of the applied voltage is changed. This requirement is called resonance condition, shown as va = vc

The time period of the radio frequency (rf) field was halved due to the violation of the resonance conditions as the frequency of the radio frequency (rf) field was doubled. Thus, two simultaneous things occur, firstly the particle completes its one-half revolution and the radio frequency also completes the cycle.

Therefore, the particle will alternatively accelerate and decelerate. So, the radius of the path covered in both the dees remains the same.

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