n 2140 Enhanced with Hints ctron beam inside an old television picture tube is 0

Question

n 2140 Enhanced with Hints ctron beam inside an old television picture tube is 0,40 mm in cument mA This elector beam impinges on side of the poture tube screen. J Value Units The electrons move wth a wlooty of 37x10' What electic sead strength is needed to accelerate electrons tom test to this velopty na Express your answer with the appropriate unit. E- Value Units Submit Answers by the beam? Each electron transfers its energy to the picture tube screen upon impact What is the Express your answer with the appropriate units Units

Explanation / Answer

c) a = F/m = E*q/m but using v^2 = v0^2 + 2*a*x we find a = v^2/(2*x)

so v^2/(2*x) = E*q/m

so E = (v^2/(2*x))*m/q = (3.7x10^7)^2/(2*5x10^-3)*9.11x10^-31/(1.6*10-19) = 7.794x10^5N/m

d) First we find no. of electrons

q = I*t = 50.0x10^-6C/s*1s = 50.0x10^-6C since each electron has a charge of 1.60x10^-19

n = 50.0x10^-6/1.60x10^-19 = 3.125x10^14

total energy per second = n*Ke = 3.125x10^14*1/2*m*v^2 =
3.125x10^14*1/2*9.11x10^-31*(3.7x10^7)2 = 0.195J

so P = E/t = 0.195J/s = 0.195W

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