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  4. 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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Q. 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

WBJEEWBJEE 2013Moving Charges and Magnetism

Solution:

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 $E \neq 0, B \neq 0$, the charged particle will move with uniform velocity in that space. If $E=v B$, then particle again moves with uniform velocity.