What is the behavior of a charged particle mo | vedclass

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(C) When a charged particle with charge $q$ moves with velocity $\vec{v}$ in a region containing both an electric field $\vec{E}$ and a magnetic field

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The particle may move in a straight line if the forces balance each other.

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(C) When a charged particle with charge $q$ moves with velocity $\vec{v}$ in a region containing both an electric field $\vec{E}$ and a magnetic field $\vec{B}$,it experiences the Lorentz force given by $\vec{F} = q(\vec{E} + \vec{v} 	imes \vec{B})$.If the electric field and magnetic field are perpendicular to each other and also perpendicular to the velocity of the particle,the electric force $\vec{F}_E = q\vec{E}$ and the magnetic force $\vec{F}_B = q(\vec{v} 	imes \vec{B})$ act in opposite directions.If the magnitudes of these forces are equal,i.e.,$qE = qvB$,the net force on the particle becomes zero.In this condition,the particle will move in a straight line without any deviation,provided its initial velocity satisfies $v = E/B$.

What is the behavior of a charged particle moving in a region where the electric field $\vec{E}$ and magnetic field $\vec{B}$ are perpendicular to each other?

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