How Does Mass Increase Affect Proton Velocity in a Cyclotron?

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In a cyclotron, protons experience an increase in velocity due to electric fields when moving between the two D-shaped electrodes, despite their mass increasing according to relativity. As the protons accelerate, their orbits become narrower, leading to a spiral path. The relationship between radius, mass, charge, and magnetic field strength is governed by the equation R = mv/qB, indicating that as velocity increases, the time spent in the electric field decreases. This results in a slower increase in radius, complicating the acceleration process. The discussion raises questions about the interplay between mass increase and velocity, seeking clarity on the accuracy of these concepts.
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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
 
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What is xiclotron? Google wants to know if you ment cyclotron. xD
 
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 throught 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
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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