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

Question

In an ink-jet printer, drops of ink are given a contorlled amount of charge before they pass through a uniform electric field generated by two charged plates.If the electric field between the plates is 1.5x10^6N/C over a region 1.7cm long and drops of mass .12 ng enter the electric field region moving horisontally at 17m/s, how much charge on a drop is necessary to produce a vertical deflection of (a).50mm and (b).80mm 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 .50cm from the end of the plates and electric fiedl region?Ignore gravity and resistance approximate the field to be uniform in the region between the plates and fall to zero abrutly at the edge of the plates.

Explanation / Answer

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

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