Limitation of Cyclotron

Limitations
  1.  Maintaining  a  uniform  magnetic  field  over  a  large  area  of  the Dees  is  difficult.
  2. At high velocities, relativistic variation of mass of the particle upsets  the  resonance  condition.
  3. At  high  frequencies,  relativistic  variation  of  mass  of  the electron  is  appreciable  and  hence  electrons  cannot  be  accelerated  by cyclotron.
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Algebra Formulas collection

(a+b) 2  = a 2  + b 2  + 2ab (a-b) 2  = a 2  + b 2  – 2ab (a+b) (a-b) = a 2  – b 2 (x + a)(x + b) = x 2  + (a + b)x + ab (x + a)(x – b) = x ...