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

Question

One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms 31.0 m -diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and shoots them toward the page with a horizontal velocity of 21.0 m/s . Along the way, the drops pass through the long axis of two parallel electrodes that are 6.0 mm long, 4.0 mm wide, and spaced 1.0 mm apart. The distance from the center of the plates to the paper is 1.90 cm. To form the letters, which have a maximum height of 6.0 mm, the drops need to be deflected up or down a maximum of 3.0 mm. Ink, which consists of dye particles suspended in alcohol, has a density of 800 kg/m3.

Estimate the maximum electric field strength needed in the space between the electrodes.

What amount of charge is needed on each electrode to produce this electric field?

Explanation / Answer

I am given a velocity so I can solve for acceleration using F=EQ. That is the acceleration from the center of the electrodes to the paper. I am having trouble understanding the "format" of the electric field between the electrodes. The E field of a plane is N/(2*Epsilon). and N=Q/AREA??? -20^2=2(a)(.02+003), solve for a, a =8696 m/s^2, the .003 being the middle of plate if i was to go further and find E, I use the fact that f=eq, a=eq/m, and so e would be 4.95*10^-8

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