Cathode-ray tubes (CRTs) are often found in oscilloscopes and computer monitors.

Question

Cathode-ray tubes (CRTs) are often found in oscilloscopes and computer monitors. In the figure(Figure 1) an electron with an initial speed of 6.70106m/s is projected along the axis midway between the deflection plates of a cathode-ray tube. The potential difference between the two plates is 26.0V and the lower plate is the one at higher potential .

Part G

How far below the axis will it strike the fluorescent screen S in m?

Cathode-ray tubes (CRTs) are often found in oscilloscopes and computer monitors. In the figure (Figure 1) an electron with an initial speed of 6.70x10^6m/s is projected along the axis midway between the deflection plates of a cathode-ray tube. The potential difference between the two plates is 26.0V and the lower plate is the one at higher potential. Part A What is the magnitude of the force on the electron when it is between the plates? Part B What is the direction of the force on the electron when it is between the plates? Upward Downward Part C What is the magnitude of the acceleration of the electron when acted on by the force in part (a)?

Explanation / Answer

a) E = v/d = 20/0.02 = 1000 N/c

F = e*E = 1.6*10^-19*1000 = 1.6*10^-16 N

b) a = F/m = 1.6*10^-16/9.1*10^-31 = 1.758*10^14 m/s^2

time taken, t = d/v = 0.06/6.9*10^6 = 8.7*10^-9 s

y = 0.5*a*t^2

= 0.5*1.758*10^14*8.7^2*10^-18
= 6.65*10^-3 m

c) vy = a*t = 1.758*10^14*8.7*10^-9 = 1.529*10^6 m/s

theta = tan^-1(vy/vo) = 12.5 degrees with +x axis

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