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

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Homework Help Overview

The problem involves calculating the net charge of a metal sphere after adding a specific number of electrons to it. The sphere initially has a positive charge of +8.0 µC, and the question focuses on how the addition of electrons, which carry a negative charge, affects this net charge.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the number of electrons added and the resulting charge, referencing the equation q=Ne. There is uncertainty about how to apply this equation and the significance of the charge's sign.

Discussion Status

Some guidance has been provided regarding the need to consider the negative charge of electrons and how it interacts with the initial positive charge of the sphere. Participants are actively questioning which values should be treated as negative and are seeking clarification on the signs involved.

Contextual Notes

There is a focus on ensuring the correct application of charge signs, and participants are navigating the implications of adding a large number of electrons to a positively charged object.

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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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