Charged Particle Subjected to Lorentz Force: Analytical Solution

initial positions (m)

x

0

0

y

0

0

z

0

0

initial velocity (m/s)

v

x0

5

v

y0

5

v

z0

3

electric field (N/C)

E

x

5

E

y

-5

E

z

2

magnetic induction (T)

B

z

5

mass (Kg)

m

3

electric charge (C)

q

-2

animation

time

10

When subjected to electric and magnetic fields, the motion of a Newtonian particle depends on the Lorentz force. This Demonstration describes the effect of a homogeneous magnetic field in the

z

direction combined with a homogeneous electric field in an arbitrary direction on the trajectory of a charged particle, given its charge, mass, initial position and initial velocity. This is done analytically, with the solution described in the Details.