A beam of ion passed through two parallel horizontal plates 2.5cm apart have a pd of 2500v when a perpendicular magnetic field strength if 0.014 is applied and in the magnetic field alone with a radius of 3m calculate the charge to mass ratio
To calculate the charge to mass ratio (e/m) of the ions passing through the magnetic field, we can use the formula:
e/m = 2V/(B^2*r^2)
Where:
e/m = charge to mass ratio of the ion (C/kg)
V = potential difference between the plates (V) = 2500 V
B = magnetic field strength (T) = 0.014 T
r = radius of the beam in the magnetic field (m) = 3 m
Plugging in the values:
e/m = 2 * 2500 / (0.014^2 * 3^2)
e/m = 5000 / (0.000196 * 9)
e/m = 5000 / 0.001764
e/m ≈ 2835000 C/kg
Therefore, the charge to mass ratio of the ions passing through the magnetic field is approximately 2835000 C/kg.