In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.095 T magnetic field.
(a) What electric field strength, in volts per meter, is needed to select a speed of 3.9×10⁶ m/s?
(b) What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm?