An electron moves straight inside a charged parallel plate capaci… - Vidyadip

Question

An electron moves straight inside a charged parallel plate capacitor of uniform charge density. The space between the plates is filled with uniform magnetic field of intensity $B ,$ as shown in the figure, Neglecting effect of gravity, the time of straight line motion of the electron in the capacitor is

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Answer

$F _{ E }= F _{ B }$

$eE = evB$

$E =\frac{l}{t} B$

$t =\frac{l B \varepsilon_{0}}{\sigma}$

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