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If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are
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$E=v B$, $E=0, B \neq 0$, $E \neq 0, B \neq 0$
The charged particle will move with uniform velocity in that space if $E=0$ and $B \neq 0,$ since a moving charge in a magnetic field experience a force. Also if $E = 0, B \neq 0,$ the charged particle will move with uniform velocity in that space.
If $E=v B$, then particle again moves with uniform velocity.
If $E=v B$, then particle again moves with uniform velocity.
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