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Physical PLEASE HELP! Electric fields! The operation of an inkjet printer?
In an inkjet printer, letters and pictures are created by jets of ink droplets horizontally on a sheet of paper from a fast-moving nozzle. The paper pattern is controlled by an electrostatic valve that determines at each position of the nozzle when the ink is sprayed on paper or not. Ink droplets have a mass m = 1.00 × 10 ^ -11 kg each and exit the nozzle and travel horizontally to the paper at a speed v = 16.0 m / s. The droplets pass through a charging unit that gives each drop a positive charge q causing them to lose some electrons. The drops then pass between parallel plates by diverting length D = 2.50 cm, where a uniform vertical electric field with a magnitude E = 8.10 × 104 N / C. If a drop is deflected a distance d = 0.320 mm at the time it reaches the end of the deflector plate, which magnitude of the charge q should be given to the fall? Suppose that the density of the ink drop is 1000 kg / m ^ 3, and ignore the effects of gravity.
T is the time it takes drop to move horizontally across plate as the plate length and the rate of fall. write the expression for the vertical force to fall. Force on a charge in electric field strength = load x area. find expression for the vertical acceleration in terms of q. Then come to expression for vertical deflection by the equation of uniformly accelerated motion. u know the initial vertical velocity b zero and have found time and acceleration equate this with given deformation and resolve for loading
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