One type of ink-jet printer called on electrostatic ink-jet printer forms the le
ID: 1545485 • Letter: O
Question
One type of ink-jet printer called on electrostatic ink-jet printer forms the letter by using to steer changes drops up and down vertically as the ink jet horizontal across the page The ink jet forms 29.0 mu m-diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and sheets them forward the page with a horizontal velocity of 16.0 m/s. Along the way, the drops pass through the long axis of two horizontal, parallel electrodes that are 6.0 mm long, 4.0 mm wide and space 1.0 mm apart the distanced from the center of the electrodes to the paper us 2.00 cm. To from the letter, which have a maximum height of 3.0 mm ink which consists of dye particles suspended in alcohol, has a of 800 kg/m^3 What electric field strength is needed between the electrodes to achieve this deflection? Express your answer with the appropriate units.Explanation / Answer
using with given values
Y = 3 X 3 / 21
Y = 0.428 mm
Y = cm
x = 6 mm = 6 X 10-3 m
Vx = 16 m/sec
t = x / Vx
t = 6 X 10-3 / 16
t = 3.75 X 10-4 sec
using Y = Vy t + 0.5 a t2
0.428 X10-3 = 0 + 0.5 X a X ( 3.75 X 10-4 )2
a = 6087.11 m/sec2
mass of the drop is m = 4/3 X 3.14 X ( 29 X 10-6 )3 X 800
m = 8.16 X 10-11 kg
F = m a
F = 8.16 X 10-11 X 6087.11
F = 4.97 X 10-7 N
F = q E and q = e X n
E = 4.97 X 10-7 / 800000 X 1.6 X 10-19
E = 3882812.5 N/C
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