In an ink-jet printer, drops of ink are given a controlled amount of charge befo

Question

In an ink-jet printer, drops of ink are given a controlled amount of charge before they pass through a uniform electric field generated by two charged plates. If the electric field between the plates if 1.5

In an ink-jet printer, drops of ink are given a controlled amount of charge before they pass through a uniform electric field generated by two charged plates. If the electric field between the plates if 1.5 times 106 N/C over a region 1.7 cm long, and drops of mass 0.12 ng enter the electric field region moving horizontally at 17 m/s, how much charge on a drop is necessary to produce a vertical deflection of (a) 0.50 mm and (b) 0.80 mm at the end of the electric field region? In each case, what is a drop's total deflection from its original path once it hits the paper, 0.50 cm from the end of the plates and elctric field region? Ignote gravity and air resistance. Approximate the field to be uniform in the region between the plates and fall to zero abruptly at the edge of the plates.

Explanation / Answer

Vertical accel. of charge .. .. a = F/m = qE /m
a = q x 1.50^6N/C / 0.12^-12kg .. .. .. a = q (1.25*10^19) m/s

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