In a figure, a particle is projected horizontally midway between two parallel pl

Question

In a figure, a particle is projected horizontally midway between two parallel plates that are separated by 0.8 cm. The electrical field due to the plates has magnitude 6.4 * 105 N/C between the plates away from the edges.

a) If the plates are 4.7 cm long and the particle has an initial speed of 4.12 * 106 m/s, find the charge to mass ratio (q/m) in C/kg of the particle if it just misses the lower plate as it emerges from the field. (?0=8.85 * 10-12 C2/Nm2)

b) Can you identify this particle (proton, electron, other), assuming it has one unit of fundamental charge? Explain.

Explanation / Answer

The direction of electric field is y axis and the direction of speed is x axis.

in y direction.

initial speed=u=0

s=distance=0.8cm

acceleration=F/m=qE/m

0.8=0+0.5(q×6.4×105/m)t2

for x axis

s=4.7cm

u=4.12×106m/s

a=0

4.7×10-2=4.12×106×t

t=1.1407 ×10-8 s

put in equation come out of y axis

(0.008/0.5)/(6.4 ×105×1.1407 ×10-8)=q/m=2.19C/Kg

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