First slide

Electric field

Question

An electron enters the region between the charged plates as shown in figure with some initial velocity at an angle $θ$ to the plates. The plate width is I and plate separation is d. The electron follows the path shown, just missing the upper plate. Neglect gravity.

Moderate

A

$\tan θ = \frac{2 d}{l}$
B

$\tan θ = \frac{4 d}{l}$
C

$\tan θ = \frac{6 d}{l}$
D

$\tan θ = \frac{8 d}{l}$

Solution

$d = \frac{u^{2} \sin^{2} θ}{2 a} a n d l = \frac{2 u^{2} \sin θ C o s θ}{a} \Rightarrow \frac{d}{l} = \frac{\tan θ}{4} \Rightarrow \tan θ = \frac{4 d}{l}$

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