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Motion of charged particle in uniform electric field - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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An electron moving with the speed of 5\times 10^6 m/s is shot parallel to the electric field of intensity 7\times 10^3 N/C. The field is responsible for the retardation of the motion of electrons. Now evaluate the distance travelled by the electron before coming to rest for an instant (mass of e = 9\times 10^{-31}kg charge =1.6\times 10^{-19}C)

A mass of 1g carrying charge q falls through a potential difference V. The kinetic energy acquired by it is E. When a mass of 2g carrying the charge q falls through a potential difference V. What will be the kinetic energy acquired by it?

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Motion of charged particle in uniform electric field

Motion of charged particle in uniform electric field -

Whenever a charged placed in an electric field, it will experience an electric force. Ther is an assumption that this whole system is placed in an gravity free space. For this condition, electrical force is the only force acting on the particle. This net forcce will cause the particle to accelerate according to Newton's second law of motion. So we can write - 

                                                                           

$
\vec{F}_e=q \vec{E}=m \vec{a}
$


Acceleration will be constant if the Electric field will be uniform and

$
\vec{a}=\frac{q \vec{E}}{m}
$


The dierection of acceleration or motion of charged particle depends on its nature. If the charged particle is of positive nature then it will move or accelerate in the direction of electric field. But in case of negative charged particle its motion or acceleration is in opposite direction of electric field. Here we can use the kinematic equation of motion since the acceleration is constant.

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Motion of charged particle in uniform electric field

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