Suppose that there is a magnetic field B Cartesian coordinate system with ê x ŷ = î. For all the discussions below, ignore the units. = 3xî filling a 3D space. The coordinates are set up as a a) Find the expression for the magnetic force on a positive charge +Q that is located at 7 = (2,1, –1) and moving at velocity i = (2,3,1) b) In this magnetic field, is it possible for any particle to move along a circular path? If so, indicate the conditions for the position and the velocity of the particle; If not, briefly explain your reasons.

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Suppose that there is a magnetic field B
Cartesian coordinate system with ê x ŷ = î. For all the discussions below, ignore the units.
= 3xî filling a 3D space. The coordinates are set up as a
a) Find the expression for the magnetic force on a positive charge +Q that is located at 7 =
(2,1, –1) and moving at velocity i = (2,3,1)
b) In this magnetic field, is it possible for any particle to move along a circular path? If so,
indicate the conditions for the position and the velocity of the particle; If not, briefly explain
your reasons.
Transcribed Image Text:Suppose that there is a magnetic field B Cartesian coordinate system with ê x ŷ = î. For all the discussions below, ignore the units. = 3xî filling a 3D space. The coordinates are set up as a a) Find the expression for the magnetic force on a positive charge +Q that is located at 7 = (2,1, –1) and moving at velocity i = (2,3,1) b) In this magnetic field, is it possible for any particle to move along a circular path? If so, indicate the conditions for the position and the velocity of the particle; If not, briefly explain your reasons.
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