IK thể mass spectrometer shown, a positive charge gof mass m is sent first through a velocity selector with a velocity v in the presence of a magnetic field B and an electric field E. Upon entering the second magnetic field Bo the charge q moves in a semicircle of radius rbefore striking a detector array at P, as shown. The radius rcan be expressed as:

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 32P: A particle of charge q and mass m is accelerated from rest through a potential difference V, after...
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In the mass spectrometer shown, a positive charge got mass m is sent first through a velocity selector with a velocity v in the
presence of a magnetic field B and an electric field E. Upon entering the second magnetic field Bo, the charge q moves in a
semicircle of radius rbefore striking a detector array at P, as shown. The radius rcan be expressed as:
Bo, im
X X X x x x XN
X X X
Detector
array
Velocity selector
O E/mBB,
O qE/BBo
O mBBo/VE
O mE/QBB,
O mv/EBB0
Transcribed Image Text:In the mass spectrometer shown, a positive charge got mass m is sent first through a velocity selector with a velocity v in the presence of a magnetic field B and an electric field E. Upon entering the second magnetic field Bo, the charge q moves in a semicircle of radius rbefore striking a detector array at P, as shown. The radius rcan be expressed as: Bo, im X X X x x x XN X X X Detector array Velocity selector O E/mBB, O qE/BBo O mBBo/VE O mE/QBB, O mv/EBB0
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