Background info: In an inkjet printer, letters and images are created by squirti
ID: 2238528 • Letter: B
Question
Background info: 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. Question: The ink drops have a mass m= 1.00*10^(-11) kg each and leave the nozzle and travel horizontally toward the paper at velocity v= 15.0 m/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 D= 2.20 cm, where there is a uniform vertical electric field with magnitude E= 7.95 *10^4 N/C. If a drop is deflected a distance d=0.280 mm by the time it reached the end of the deflection plate, what magnitude of charge q mist be given to each drop? [ignore effects of gravity]Explanation / Answer
Given,
m= 10^-11,
E= 7.95 X 10-4
L=0.022m
v=15
d=2.8X 10-4
q is given by:
q = 2 m d v^2 / E L^2
= (2)(1 x 10^-11)*(2.8 x 10^-4)*(15)^2 / (7.95 x 10^4)*(.022)^2
= 32.74 x 10^-13 C
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