INTRODUCTION
Here, we observe the motion of charged particles in
presence of both electric and magnetic fields as function of
time and position. The electric and magnetic fields are
perpendicular to each other. The electric and magnetic
fields are considered constant and uniform with time.
When a charge ‘q’ is placed in external uniform electric
field of intensity E then it experiences a force 𝐹⃗ = 𝑞𝐸⃗⃗ .
The positive charge moves in the direction of electric field
𝐹⃗
𝑞𝐸⃗⃗
with acceleration, 𝑎⃗ = 𝑚 = 𝑚 , where ‘m’ is mass of
charged particle. The negative charge moves opposite to the
direction of electric field.
When a charge ‘q’ moves with uniform velocity v in external
uniform magnetic field of intensity B then it experiences a
force F = qvBsin𝜃, where 𝜃 is angle between the direction of
velocity and direction of magnetic field.