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6a. The accelerator plates are 2.000 mm apart. Find the electric field Ea in accelerator such that the electron would approach the right plate with
6a. The accelerator plates are 2.000 mm apart. Find the electric field Ea in accelerator such that the electron would approach the right plate with a velocity of 6.400 x 10 m/s in the x-direction. Show these key steps: i. By energy conservation, relate (symbolically) the electric field Ea with the charge e, mass me and final velocity Va of the electron. ii. Find the value of Ea in N/C. iii. What is the direction of Ea?The electron then passes through a small hole into another set of charged parallel plates. The electric eld Ed between the plates is -1000.N/C in the y-direction. When the electron is about to exit the deector, how much would the electron deviate from its original path? Upward or downward? Show these key steps: i. By considering the net force on the electron, nd the acceleration a of the electron in terms of the electric eld Ed, e and me ONLY. Find the value of a in mfsz. ii. Write relevant kinematic equations for the motion of the electron in terms of Ax, Av, t, v3 and a ONLY. Then determine the value of Av in m. 6c. Find the velocity of the electron as it exits the deflector in mls. What vertical position {in mm) will it land on a screen that is 10.0 cm apart? Vd=l , )mls AV = mm 6. Shown below is a cathode-ray tube (CRT). An electron is accelerated from rest by a set of parallel plates (accelerator). The electron will then be deflected by another set of parallel plates (deflector). Finally, the electron will land on a point on the screen. *For parts b and c, set y = 0 to be the original vertical position of the electron. 2.000 mm 1000. N/C 2.000 cm 10.00 cm (a) (b) (c) accelerator deflector screen
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