How many extra electrons does the toner particle carry?

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SUMMARY

The discussion focuses on calculating the number of extra electrons carried by a toner particle in a photocopier. The toner particle, with a mass of 2.80 × 10-12 kg, must have a negative charge of -1.44 × 10-15 C to be attracted to the positively charged imaging drum with a force ten times its weight. The solution to the second part of the problem reveals that the toner particle carries approximately 9.03 × 103 extra electrons, derived from the charge of a single electron, which is approximately -1.6 × 10-19 C.

PREREQUISITES
  • Understanding of electric force and weight calculations using F=qe and W=mg
  • Knowledge of charge quantization and the charge of an electron (-1.6 × 10-19 C)
  • Familiarity with basic physics concepts related to electric fields
  • Ability to perform unit conversions and scientific notation calculations
NEXT STEPS
  • Research the concept of electric fields and their effects on charged particles
  • Learn about Coulomb's law and its applications in electrostatics
  • Explore the principles of charge quantization and how to calculate the number of electrons from a given charge
  • Study the physics of photocopiers and the role of toner particles in the imaging process
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as professionals in fields related to imaging technology and electrostatics.

jbirse
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Homework Statement


A photocopier imaging drum is positively charged to attract negatively charged toner particles. Near the surface of the imaging drum, the E field has a magnitude of 1.90 × 105 N/C
A. What must be the be the magnitude of the negative charge on a toner particle of mass 2.80 × 10 -12 kg if it is to be attracted to the drum with a force that is 10.0 times its weight?
B. How many extra electrons does the toner particle carry?

Homework Equations



I have already figured out A with F=qe and W=mg
That answer came out to be = 1.44E-15 C
I can't figure out B. How many extra electrons does the toner particle carry?

The Attempt at a Solution



The answer here is 9.03E+3 but I don't know how that is the right answer, can someone please explain? I feel like it is probably just a formula, but i don't know it
 
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jbirse said:
B. How many extra electrons does the toner particle carry?

I have already figured out A with F=qe and W=mg
That answer came out to be = 1.44E-15 C
I can't figure out B. How many extra electrons does the toner particle carry?

The Attempt at a Solution



The answer here is 9.03E+3 but I don't know how that is the right answer, can someone please explain? I feel like it is probably just a formula, but i don't know it

So you know the total charge is -1.44 x 10-15 Coulombs.

The next thing to ask yourself is how much charge (i.e. how many Coulombs) is carried by a single electron? (You can look this up if you haven't memorized it.) :wink:

[Edit: And welcome to Physics Forums, jbirse!]
 
Thanks! I knew it was probably pretty simple, but I was just unsure of what to exactly do. thanks
 

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