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Question

Question: An electron moves straight inside a charged parallel plate capacitor at uniform charge density \(\ve...

An electron moves straight inside a charged parallel plate capacitor at uniform charge density B\vec { B } Time of straight line motion of the electron in the capacitor is

A

B

C

D

Answer

Explanation

Solution

The net force acting on the electron is zero because it moves with constant velocity, due to it's motion on straight line.

Fnet=Fe+Fm=0\Rightarrow \vec { F } _ { n e t } = \vec { F } _ { e } + \vec { F } _ { m } = 0 \Rightarrow Fe=Fm\left| \vec { F } _ { e } \right| = \left| \vec { F } _ { m } \right|

eE=evBe E = e v B \Rightarrow [E=σεo]\left[ E = \frac { \sigma } { \varepsilon _ { o } } \right]

t=lv=ε0lBσt = \frac { l } { v } = \frac { \varepsilon _ { 0 } l B } { \sigma }.