Question

What is resonance condition in cyclotron?

Answer 1

1. In cyclotron operation when the frequency f at which the positive ion circulates in the magnetic field must be equal to the constant frequency of the electrical oscillator f_osc. This is called resonance condition. `"f"_"osc" = "qB"/(2pi"m")`
2. The time period of oscillation is T = `(2pi"m")/"qB"`
3. The kinetic energy of charged particle is KE = `1/2"mv"^2 = ("q"^2"B"^2"r"^2)/(2"m")`