Solution to 1986 Problem 25


The Lorentz force law is
\begin{align*}\mathbf{F} = q \left(\mathbf{E} + \mathbf{v} \times \mathbf{B} \right)\end{align*}
Initially, \mathbf{v} = 0, so the second term inside the parenthesis is \mathbf{0}. So, at t = 0, the particle experiences a force in the direction of the electric field, which gives the particle a velocity in the direction of the electric field. Since \mathbf{v} and \mathbf{B} are parallel, the second term inside the parenthesis is still \mathbf{0}. So, the particle will continue to move in a straight line and not experience any magnetic force. Therefore, answer (E) is correct.


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