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an electron emerges from a hot cathode with a speed 600 km/s. then encounters an electric field of 20 N/C...?
An electron, mass 9.11 x 10 ^-31 kg, emerges from the hot cathode of a vacuum tube with a speed of 600 km/s. The electron then encounters an electric field of 20 N/C in a direction opposite to its velocity vector.
a) Find the magnitude and direction of the force acting on the electron.
b) Determine the acceleration of the electron.
c) Find the distance the electron will travel in 30 ns.
a)
F = eE
F = - 1.6e-19*20 = 3.2e-18 N [minus sign indicates the force is opposite to the field E.
(b)
a = eE/m = - 1.6e-19*20/9.11e-31
a = -3.51e+12m/s^2 minus sign indicates that velocity decreases, i.e it increases in the direction opposite to the field E
(c)
S = ut =0.5 at^2
u = -600e^3m/s
a = --3.5126e+12m/s^2
t = 30e-9s
S = - 600e^3* 30e-9 -3.5126e+12*(30e-9)^2
S = -3.167e-3 m
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