A particle of charge q and mass m is accelerated from rest by a constant electric field Eo acting over a length d (see Figure below). It then encounters a region of constant magnetic field Bo perpendicular to its velocity. (a) Calculate the speed v of the particle when it encounters the magnetic field region. (b) Describe its subsequent motion. Justify your answer in at most three simple sentences only. (c) For what value of Bo will the particle re-enter the region of constant electric field a distance d from the point at which it left? Note that with Bo as shown, the particle will move up the page in a semicircle, re-entering the electric field region at a point 2R above its entry point. (This arrangement can be used to measure the ratio q/m for unknown particles. The apparatus is called a mass spectrometer.) ´ oft
A particle of charge q and mass m is accelerated from rest by a constant electric field Eo acting over a length d (see Figure below). It then encounters a region of constant magnetic field Bo perpendicular to its velocity. (a) Calculate the speed v of the particle when it encounters the magnetic field region. (b) Describe its subsequent motion. Justify your answer in at most three simple sentences only. (c) For what value of Bo will the particle re-enter the region of constant electric field a distance d from the point at which it left? Note that with Bo as shown, the particle will move up the page in a semicircle, re-entering the electric field region at a point 2R above its entry point. (This arrangement can be used to measure the ratio q/m for unknown particles. The apparatus is called a mass spectrometer.) ´ oft
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Magnetic Fields
Section: Chapter Questions
Problem 29.23P: A singly charged ion of mass m is accelerated from rest by a potential difference V. It is then...
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