please do question 4 a and b A schematic of a cathode ray tube is shown below. W
ID: 1529231 • Letter: P
Question
please do question 4 a and b
A schematic of a cathode ray tube is shown below. Well assume that the x-deflection plates are inactive (so that they do not affect the electron beam) and ignore them. Follow the steps below to calculate the deflection of the electron beam in the y-direction. If the voltage difference between the front and back of the main body of the CRT is V_z and the length of the tube is L_1, calculate the magnitude of the electric field in the z-direction and use your expression for E_z to show that a_z = q V_z/m L_1 Assuming this acceleration is constant and that the electrons were initially at rest, use the kinematic equations to show that when the electrons have traveled a distance L_1 their speed isExplanation / Answer
a)
Electric field is given as
Ez = Vz/L1
q = charge on electron
Force on the electron is given as
F = qEz = qVz/L1
acceleration is given as
a = F/m = qVz/(mL1 )
b)
a = acceleration = qVz/(mL1 )
Vo = initial velocity = 0 m/s
Vf = final velocity at the end of length L1
using the equation
Vf2 = Vo2 + 2 a X
Vf2 = 02 + 2 (qVz/(mL1 )) L1
Vf = sqrt(2 (qVz/(m))
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