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Question

Physics Question on electrostatic potential and capacitance

A uniform electric field E\overrightarrow{E} exists between the plates of a charged condenser. A charged particle enters the space between the plates and perpendicular to E\overrightarrow{E}. The path of the particle between the plates is a :

A

straight line

B

hyperbola

C

parabola

D

circle

Answer

parabola

Explanation

Solution

When charged particle enters perpendicularly in an electric field, it describes a parabolic path
y=12(QEm)(x4)2y = \frac{1}{2}\left(\frac{QE}{m}\right)\left(\frac{x}{4}\right)^{2}
This is the equation of parabola.