The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally toward the paper at velocity v = 15.0 m/s. The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length D = 2.15 cm, where there is a uniform vertical electric field with magnitude E = 7.70×104 N/C. If a drop is to be deflected a distance d = 0.340 mmmm 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/m3, and ignore the effects of gravity.
The ink drops have a mass mmm = 1.00×10−11 kg each and leave the nozzle and travel horizontally toward the paper at velocity v = 15.0 m/s. The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length D = 2.15 cm, where there is a uniform vertical electric field with magnitude E = 7.70×104 N/C. If a drop is to be deflected a distance d = 0.340 mmmm 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/m3, and ignore the effects of gravity.
Given:
Mass of ink drop=1.00×10−11 kg
velocity (v)= 15.0 m/s
Length of parallel deflecting plates (D)=2.15 cm =0.0215 m
Electric field(E)=7.70×104 N/C
Deflected distance (d)= 0.340 mm= 0.34
Density of the ink drop = 1000 kg/m3
To find:
Magnitude of charge q to be given to the drop
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