An electron enters the space between the plates of a charged capacitor as shown. The charge density on the plate is
. Alectric intensity in the space between the plates is E. A uniform magnetic field
also exists in that space perpendicular to the direction of
. The electron moves perpendicular to both
and
without any change in direction. The time taken by the electron to travel a distance
in that space is

Text Solution
Verified by ExpertsC
: Force on the electron due to the electric field
is

force on the electron due to the magnetic field
is

The electron will move in the fields undeflected, if these two forces are equal and opposite

Electric field between the plates is 

The time taken by the electron to travel a distance
in the space is

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