Physics numerical?

Question

A charged particle is accelerated from rest through a potential difference of 950 V and it attains a final speed of 1.80x10^7 m/s. What is particle's charge to mass ratio?

Answer 1

Q – charge of the particle
m – mass of the particle
U – potential difference (voltage drop)
v – speed of the particle

Energy given to the particle by the field = kinetic energy of the particle

Q U = 0.5 m v²

Q/m = 0.5 v²/U = 0.5*1.8²*10¹⁴/950 = 1.705*10¹¹ C/kg

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