A particle of mass m and charge q is placed at rest in a uniform electric field and the released the kinetic energy attained by the particle after moving a distance y is
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Answered by
1
Answer:
E=Fq
∴F=Eq
∴K.E. acquired by the particle
Work done =F×s =Eqy
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S O L U T I O N
Electric Force on charged particle is given by
F = qE
Kinetic energy attained by particle
= work done
= force × displacement
= qE × y
ALTERNATIVE ______
Force on the charged parties in a uniform electric field is
F = ma = Eq
a = Eq/m _[i]
From the equation of motion we have
v^2 = u^2 + 2ay
v^2 = 0 + 2 × Eq/m × y _[u = 0]
v^2 = 2Eqy/m
Now, the kinetic energy of the particle
• K = 1/2 mv^2
• K = m/2 × 2Eqy/m
• K = qEy
∴ The kinetic energy attained by the particle after moving a distance y is k = qEy !
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