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 0.125 T magnetic field. What electric field strength, in volts per meter, is needed to select a speed of 4.2 × 106 m/s?

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Chapter11: Magnetic Forces And Fields
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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 0.125 T magnetic field. What electric field strength, in volts per meter, is needed to select a speed of 4.2 × 106 m/s? 

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