The force, F, on a charged particle moving with a velocity, v, in
a region with magnetic field, B, is given by
F = q*v x B
In component form:
F_x = q*(v_y*B_z - v_z*B_y)
F_y= q*(v_z*B_x - v_x*B_z)
F_z = q*(v_x*B_y - v_y*B_x)
The magnitude of the force, F, is given by
F = abs(q)*v*B*sin(angle between v and B
)
and the direction of F is obtained by:
1. F is perpendicular to the plane determined
by v and B.
2. The direction of F perpendicular to the
plane is determined by using the right-hand rule which states that F
is in the direction that a right-handed screw would move, if it was turned
in the direction from v to B through the smaller of the two
angles between these two vectors. See the diagram below.
IMPORTANT ANDES NOTES:
1. The Andes workbench always considers the plane
of the screen to be the x-y plane.
2. To draw a vector in the z-direction one must
use the tool on the left hand side of the screen that has a circle with a
dot in the center to specify a vector in the positive z-direction (out of
the screen) and a circle with a cross in it to specify a vector in the negative
z-direction (into the screen). There is also a spot in the dialog box
for vectors that allows these same designations.
3. To draw a zero length vector choose the vector tool
desired from the vector tools bar and left click in the drawing area.