- #1
1Keenan
- 101
- 4
Hi,
I have a particle moving in a static electromagnetic field in which E and B have the following components:
E=(Ex, 0, 0)
B=(-Bx, 0, 0)
and both depend on z, namely Ex(z) and Bx(z).
The particle is moving along z with constant velocity v=(0, 0, vz).
If I want to express Lorentz force as a function of z, is it correct to write:
F(z)=q [(E *cross (1/v)) *cross (1/v) + B *cross (1/v)]?
I get this equation considering F=q(E+v *cross B) as a system of 6 differential equations:
dx/dt=0
dy/dt=0
dz/dt=vz
dvx/dt= q*Ex/m
dvy/dt=q*Bx*vz/m
dvz/dt=0
and expressing them as a function of z
I have a particle moving in a static electromagnetic field in which E and B have the following components:
E=(Ex, 0, 0)
B=(-Bx, 0, 0)
and both depend on z, namely Ex(z) and Bx(z).
The particle is moving along z with constant velocity v=(0, 0, vz).
If I want to express Lorentz force as a function of z, is it correct to write:
F(z)=q [(E *cross (1/v)) *cross (1/v) + B *cross (1/v)]?
I get this equation considering F=q(E+v *cross B) as a system of 6 differential equations:
dx/dt=0
dy/dt=0
dz/dt=vz
dvx/dt= q*Ex/m
dvy/dt=q*Bx*vz/m
dvz/dt=0
and expressing them as a function of z