In an inkjet printer, letters and images are created by squirting drops of ink h

Question

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.

If a drop is to be deflected a distance d = 0.300 mm by the time it reaches the end of the deflection plate, what magnitude of charge q must be given to the drop? Assume that the density of the ink drop is 1000 kg/m^3, and ignore the effects of gravity.

                                         q= ? Coulombs

Explanation / Answer

Given that the ink drops having a mass m = 1.00 *10^-11 kg length of the deflecting plates is D_0 = 2.50 cm uniform electric field is E = 7.75 *10^4 N/C deflected distance d = 0.300mm acceleration of the particle along y axis is a = Eq / m time taken by the particle to pass through the plates is t = D_0 / v_x displacement in y - direction y = 1/2 at^2 = 1/2 ( Eq / m ) ( D_0 / v_x )^2 charge is q = 2 m y v_x^2 / Ex^2 now putting the value will give the correct answer.

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