Chapter 22, Problem 050 At some instant the velocity components of an electron moving between two...
Chapter 22, Problem 050
At some instant the velocity components of an electron moving between two charged parallel plates are vx=1.9×105 m/s and vy=3.8×103 m/s. Suppose the electric field between the plates is uniform and given by E→=(120N/C)j︷. In unit-vector notation, what are (a) the electron’s acceleration in that field and (b) the electron’s velocity when its x coordinate has changed by 2.2 cm?
Homework Answers
here,
vx = 1.9 * 10^5 m/s
vy = 3.8 * 10^3 m/s
the magnitude of feild , E = 120 N/C
a)
the electron's accelration , a = q * E /m
a = 1.6 * 10^-19 * 120 /( 9.1 * 10^-31) m/s^2
a = 2.11 * 10^13 m/s^2
b)
x = 2.2 cm = 0.022 m
the time taken travel in x-direction , t = x/vx
t = 0.022 /( 1.9 * 10^5) = 1.16 * 10^-7 s
the electron's velocity , vy' = vy + a * t
vy' = 1.9 * 10^5 + 2.11 * 10^13 * 1.16 * 10^-7 m/s
vy' = 2.64 * 10^6 m/s
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