How Does Adding Electrons Affect the Net Charge of a Metal Sphere?

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SUMMARY

The net charge of a metal sphere initially charged at +8.0 µC is calculated by adding the charge contributed by 9.00 x 1013 electrons. Each electron has a charge of -1.6 x 10-19 C, resulting in a total negative charge of -1.44 µC from the electrons. Therefore, the net charge of the sphere after adding the electrons is +8.0 µC - 1.44 µC, which equals +6.56 µC.

PREREQUISITES
  • Understanding of electric charge and its units (microcoulombs, µC)
  • Familiarity with the concept of electrons and their charge (-1.6 x 10-19 C)
  • Basic knowledge of algebra for calculations
  • Ability to apply the formula q = Ne for charge calculations
NEXT STEPS
  • Explore the concept of charge conservation in electrostatics
  • Learn about the behavior of charged objects and electric fields
  • Study the principles of Coulomb's Law and its applications
  • Investigate the effects of adding or removing charge from conductive materials
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Students studying physics, particularly those focusing on electrostatics, as well as educators looking for practical examples of charge calculations.

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Homework Statement



A metal sphere has a charge of +8.0 µC. What is the net charge after 9.00 *10^13 electrons have been placed on it?


Homework Equations



q=Ne where q is the charge, N is the number of electrons, and e is given as 1.6*10^-19

The Attempt at a Solution



Well the problem gives us a charge, q, and the N, number of electrons, so I figure somehow I need to use this equation. I am not sure where to start though, could someone get me started? Thanks!
 
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The electrons have a negative charge. That charge will be given by the product of the number of electrons and the charge of the electrons. Since the sphere starts with a positive charge the net charge will be the initial positive charge plus whatever charge all the electrons have. Be careful with signs here.
 
I'm still having trouble...what number needs to be negative?
 
Electrons have a negative charge.
 

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