9.) A uniform electric field exists in the region between two oppositely charged

Question

9.) A uniform electric field exists in the region between two oppositely charged parallel plates 1.54 cm apart. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate in a time interval 1.41×106 s .

a.) Find the magnitude of the electric field. Use 1.60×1019 C for the magnitude of the charge on an electron and 1.67×1027 kg for the mass of a proton.

b.) Find the speed of the proton at the moment it strikes the negatively charged plate.

Explanation / Answer

9. (A) Applying d = v0t + a t^2 /2

1.54 x 10^-2 = 0 + a (1.41 x 10^-6)^2 / 2

a = 1.549 x 10^10 m/s^2

a = q E / m

1.549 x 10^10 = (1.6 x 10^=19) E / (1.67 x 10^-27)

E = 161.7 N/C .......Ans

(B) v= v0 + a t

v = 0 + (1.549 x 10^10)(1.41 x 10^-6)

v = 21841 m/s

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