Operation of an Inkjet Printer In an inkjet printer, letters and images are crea

Question

Operation of an Inkjet Printer
In an inkjet printer, letters and images are created by squirting drops of ink horizontally at a sheet of paper from a rapidly moving nozzle. The pattern on the paper is controlled by an electrostatic valve that determines at each nozzle position whether ink is squirted onto the paper or not.
The ink drops have a mass m = 1.0*10^-11kg each and leave the nozzle and travel horizontally toward the paper at velocity v = 25.0m/s. The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length Do = 2.40cm, where there is a uniform vertical electric field with magnitude E=8.10*10^4N/C.

Explanation / Answer

Mass of the ink drop m = ? V = 1000 * (4/3) p (20 x 10-6)3 = 3.39 x10-9 kg Time taken to travel 2.20 cm is t = 0.0220 / 25 =0.88 ms The acceleration of the drop a = 2 s /t2 = 2 * 0.27 x 10-3/ 0.88 * 0.88 x 10-6 = 697.31 m/s2 The charge of the drop q = m a / E = 1 x 10-11 * 697.31 / 8.10 x 104 = 86.08 x 10-15 C

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