Electromagnetics - 7

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.