A charge particle moves along a straight line in an uniform electric field E with speed v. • If the motion and the electric field are in the x direction by Considering relativistic form of newton's second law show that the magnitude of the acceleration of charge q a =- (1- dv qE dt m • Discuss the significance of the dependence of the acceleration on the speed.

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A charge particle moves along a straight line in an uniform electric
field E with speed v.
• If the motion and the electric field are in the x direction by Considering
relativistic form of newton's second law show that the magnitude of the
acceleration of charge q
a =
dt
dv
qE
(1-
m
Discuss the significance of the dependence of the acceleration on the
speed.
If the particle starts from the rest x = 0 at t = 0 find the speed of the
particle and its position after a time t has elapsed.
• Comment of the limiting values of v and x as t –→∞
Transcribed Image Text:A charge particle moves along a straight line in an uniform electric field E with speed v. • If the motion and the electric field are in the x direction by Considering relativistic form of newton's second law show that the magnitude of the acceleration of charge q a = dt dv qE (1- m Discuss the significance of the dependence of the acceleration on the speed. If the particle starts from the rest x = 0 at t = 0 find the speed of the particle and its position after a time t has elapsed. • Comment of the limiting values of v and x as t –→∞
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