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The ink drops have a mass m = 1.00x10-11 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 hen pass between parallel deflecting plates of length Do = 2.50 cm , where there is a uniform vertical electric field with magnitude E = 7.85x104 N/C. (Figure 1) %3D - Part A If a drop is to be deflected a distance d = 0.260 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/m³ , and ignore the effects of gravity. %3D 3 Express your answer numerically in coulombs.

The ink drops have a mass m = 1.00x10-11 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 hen pass between parallel deflecting plates of length Do = 2.50 cm , where there is a uniform vertical electric field with magnitude E = 7.85x104 N/C. (Figure 1) %3D - Part A If a drop is to be deflected a distance d = 0.260 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/m³ , and ignore the effects of gravity. %3D 3 Express your answer numerically in coulombs.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The ink drops have a mass m = 1.00x10-11 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 hen pass between parallel deflecting plates of length Do = 2.50 cm , where there is a uniform vertical electric field with magnitude E = 7.85x104 N/C. (Figure 1) %3D - Part A If a drop is to be deflected a distance d = 0.260 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/m³ , and ignore the effects of gravity. %3D 3 Express your answer numerically in coulombs.
Transcribed Image Text:The ink drops have a mass m = 1.00x10-11 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 hen pass between parallel deflecting plates of length Do = 2.50 cm , where there is a uniform vertical electric field with magnitude E = 7.85x104 N/C. (Figure 1) %3D - Part A If a drop is to be deflected a distance d = 0.260 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/m³ , and ignore the effects of gravity. %3D 3 Express your answer numerically in coulombs.
Expert Solution
Step 1

Given data,

  •    mass of the ink drop, m=1.00×10-11 kg
  •    velocity, v = 15.0 m/s
  •    length of the plate D0 = 2.50 cm =0.025m
  •    Electric field, E=7.85×104 N/C
  •    deflected distance, d  = 0.260 mm =0.26×10-3 m
  •    density of the ink drop, =1000 kg/m3
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