In the above picture, a charged particle enters a uniform electric field at the point
in the direction perpendicular to the electric field, and moves along the blue dotted projectile path
. Now, suppose that it takes the same amount of time for the particle to move from
to
and from
to
Also suppose that the potential difference between
and
is
Then what is the potential difference between
and
(Ignore the gravitational force.)
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just use equation of motion by using "t" as time for O to P and "2t" for O to Q and you will get their distance ratio as 4:1, which means that if the downward distance in given case is "x" than in the required case it would be "3x", which means V will also be "3V". As int.(E.dl)=V.