How Does Mass Increase Affect Proton Velocity in a Cyclotron?

[tuananh3ap]

hello everybody
i thinks the velocity of proton in xiclotron will not increase because the mass proton will increase (theory of relativity) but i think beside have one cause: when proton flys between the two box D then the velocity will be increased by electric fields but time fly between 2 box will reduce. velocity will ỉncease but than difficulter. the obit will narrow and become the narrow
i may not true this is thought of mine
thanks

 

[madmike159]

What is xiclotron? Google wants to know if you ment cyclotron. xD

 

[tuananh3ap]

sorry .the vietnamese usually call it is xiclotron.i forgot i am joining forums of international

we know A cyclotron is a type of particle accelerator. Cyclotrons accelerate charged particles using a high-frequency, alternating voltage (potential difference)
when electron is inside dees D then it doesn't attracts or repels because electric fields doen't through D that is by copper
when it is between two D it be attracted or repeled by electric fields and the velocity increase so obit of electron will increase the radius of the circle and so the path will be a spiral.
but when the velocity increase to the flight speed then mass of electron increase. but velocity more big then the mass more increase $$f$$ is not exacly and the Newton's law will false
now i want to talk about problem other
$$R=mv/qB$$
when electron be accelerate by electric fields
$$F=Eq$$
$$v_1=v_o + at$$
$$R_1-R_2=mat/qB$$
$$mat/qB$$ is constant. it depend by $$t$$
$$t$$ is time electric fields attracts or repels the electron
=> this is answer "why orbit is a spiral."
but $$t$$ will be reduce because $$v$$ is more increase
radius will be increase slowly, the orbit will become a round
it with "effect increase mass" will against velocity grow
my think true or fasle?? i need one answer for this problem
thank you