A small charged particle with a mass of \( 1 g \) and a charge of \( 10^{-4} C \) has an initial velocity of \( \mathbf{v}_{0}=(6 \mathrm{~m} / \mathrm{s}, 8 \mathrm{~m} / \mathrm{s}, 0) \). The particle is moving in uniform magnetic field of \( \mathbf{B}=(0,0,1 T) \).
a.) What kind of motion does the particle have?
5 points
b.) Give the magnitude of its velocity in \( t=30 \mathrm{~s} \) !
5 points
c.) We turn uniform electric field on so that the particle will move on straight line with constant velocity. At what time should we turn the electric field on so that the it will have the same velocity vector as it had at the beginning?
5 points
d.) Give the magnitude and the direction of the electric field!
5 points