Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields . At time t = 0, this charge has velocity in the x-y plane, making an angle with the x-axis. Which of the following option(s) is(are) correct for time t

Engineering

Physics

Lorentz Force

Question

Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields $\vec{E} = E_{0} \hat{j} and \vec{B} = B_{0} \hat{j}$ . At time t = 0, this charge has velocity $\vec{v}$ in the x-y plane, making an angle $θ$ with the x-axis. Which of the following option(s) is(are) correct for time t > 0?

If $θ$ = 90°, the charge undergoes linear but accelerated motion along the y-axis

If $θ$ = 10°, the charge undergoes helical motion with its pitch increasing with time, along the y-axis

If $θ$ = 0°, the charge moves in a circular path in the x-z plane

If $θ$ = 0°, the charge undergoes helical motion with constant pitch along the y-axis

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