Hard:
H1. Uniform electric and magnetic fields with strength E and B are directed along the y-axis. A particle with specific charge a/m leaves the origin in the direction of x-axis with an initial velocity v₀. Find the y-coordinate of the particle when it comes to cross the y-axis for n^th time.

Solution: t = nT =

y = ayt²      a_y =

y =

H2. A particle of change q and mass m is projected from the origin with velocity in a uniform magnetic field . Find the maximum positive x coordinate of the particle during the motion.
Solution:

a_y=

x_max=


Key Terms
:

1. Biot and Savant Law.
2. Magnetic Field.
3. Magnetic Moment.
4. Ampere's Law.
5. Magnitic Torque.