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A charged particle of mass m and charge q is released from res

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A charged particle of mass $m$ and charge $q$ is released from rest in a uniform electric field $E$ . Neglecting the effect of gravity, the kinetic energy of the charged particle after ' $t$ ' second is

\frac{E q ^{2} m}{2 t ^{2}}

\frac{2 E ^{2} t ^{2}}{m q}

\frac{E ^{2} q ^{2} t ^{2}}{2 m}

\frac{Eq m}{t}

Views: 5,630 students

Updated on: Feb 26, 2024

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Chloe Discussed

A charged particle of mass

m

and charge

q

is released from rest in a uniform electric field

E

. Neglecting the effect of gravity, the kinetic energy of the charged particle after '

t

' second is

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

When charge

q

is released in uniform electric field

E

acceleration

a = \frac{qE}{m}

(is constant)

So its motion will be uniformly accelerated motion and it's velocity after time

t

is given by

v = a t = \frac{qE}{m} t

\Rightarrow K E = \frac{1}{2} m v^{2} = \frac{1}{2} (\frac{qE}{m} t)^{2} = \frac{q ^{2} E ^{2} t ^{2}}{2 m}

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Question Text	A charged particle of mass $m$ and charge $q$ is released from rest in a uniform electric field $E$ . Neglecting the effect of gravity, the kinetic energy of the charged particle after ' $t$ ' second is
Updated On	Feb 26, 2024
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 9
Upvotes	1103
Avg. Video Duration	10 min

A charged particle of mass $m$ and charge $q$ is released from rest in a uniform electric field $E$ . Neglecting the effect of gravity, the kinetic energy of the charged particle after ' $t$ ' second is

Text solutionVerified

Filo tutor solutions (9)

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