Crossed electric and magnetic fields are set up in a region of space as follows:

Question

Crossed electric and magnetic fields are set up in a region of space as follows: the electric field is 8500V/m to the north and the magnetic field is 0.350T straight down. A beam of Cl- ions (q=-e,m= 5.88x10^-26kg) move from the east to west through the fields and experience 0 net force from the combination of the fields. A) at what speed are the Cl-ions moving? B) find the force on a Cl- ion due to the magnetic field Crossed electric and magnetic fields are set up in a region of space as follows: the electric field is 8500V/m to the north and the magnetic field is 0.350T straight down. A beam of Cl- ions (q=-e,m= 5.88x10^-26kg) move from the east to west through the fields and experience 0 net force from the combination of the fields. A) at what speed are the Cl-ions moving? B) find the force on a Cl- ion due to the magnetic field

Explanation / Answer

part A:

use the relation for Electric field E and magnetic field B in terms of speed v

as E/B = v

so

v = 8500/0.35

v = 2.42 *10^4 m/s

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apply force due magnetic is F = qvB

F = 1.6 e-19 * 2.42 e4 * 0.35

F = 1.355 *10^-15 N

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