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One type of ink-jet printer, called an electrostatic ink-jetprinter, forms the l

ID: 1737373 • Letter: O

Question

One type of ink-jet printer, called an electrostatic ink-jetprinter, forms the letters by using deflecting electrodes to steercharged ink drops up and down vertically as the ink jet sweepshorizonatlly across the page. THe ink jet forms 30 umdiameter drops of ink, charges them by spraying 800,000 electronson the surface, and shoots them toward the page at a speed of20m/s. Along the way, the drops pass through two parallelelectrodes that are 6.0mm long, 4.0mm wide, and spaced 1.0 mmapart. To form the letters, which ahve a maximum height of6.0 mm, the drops need to be deflected up or down a maximum of 3.0mm. Ink, which consists of dye particles suspended inalcohol, has a denisty of 800kg/m^3.
a. estimate the maximum electric field strength needed in the spacebetween the electrodes
b. what amount of charge is needed on each electrode to producehtis electric field?

Explanation / Answer

I have tried to calculate the acceleration, then use that tocalculate the field, but I do not think I am doing itcorrectly. Can anyone help?