please solve asap In the figure, an electron accelerated from rest through poten

Question

please solve asap

In the figure, an electron accelerated from rest through potential difference V1= 1.15 kV enters the gap between two parallel plates having separation d = 27.3 mm and potential difference V2 = 83.3 V- The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?

Explanation / Answer

V1 =1.15 KV=1150 V

V2 =83.3 V

V2=Ed

=>E =V2/d =83.3/(27.3*10^-3)

E=3051.28 N/C

and

(1/2)mv^2 =qV1

=>v =sqrt[2qV1/m)

v=sqrt[2*1.6*10^-19*1150/9.11*10^-31)

V=2.01*10^7 m/s

B=E/v

B =3051.28/(2.01*10^3)

B=1.52*10^-4 T or 0.152 mT

the magnetic field should ba along negative Z-axis ,so

B =-(1.52*10^-4 T) k or -(0.152 mT) k

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