What is the net charge of a metal sphere after adding 7.0 x 10^13 electrons?

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Homework Help Overview

The discussion revolves around calculating the net charge of a metal sphere after adding a specific number of electrons to it. The subject area includes concepts of electric charge and the properties of electrons.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the net charge by converting the number of electrons to charge and adding it to the initial charge of the sphere. Some participants question whether the negative charge of the electrons was properly accounted for in the calculations.

Discussion Status

Participants are actively engaging with the problem, with some providing clarifications about the charge of electrons and the implications of adding them to the sphere's existing charge. There is a recognition of the need to consider the sign of the charge when performing calculations.

Contextual Notes

There is a mention of the initial charge of the sphere being positive, indicating a deficit of electrons, which is relevant to understanding the overall charge after the addition of electrons.

MD2000
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A metal sphere has a charge of +5.0 µC. What is the net charge after 7.0 x 10^13 electrons have been placed on it?

What I tried was to convert the number of electrons to a charge by multiplying it by (1.6 x 10^-19)..and then adding that to the 5..from which I got 16.2..am I takin the right approach?
 
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The metal sphere has a +5 µC charge, which means a deficit of electrons.

Add to this 7.0 x 1013 electrons, each of which has a charge of -1.6022 x 10-19 C.

So the total charge of electrons is 7.0 x 1013 * -1.6022 x 10-19. Note that the electron charge is negative.
 
I'm not sure how you got 16.2. Did you take into account the charge of electrons (-)? Also, make sure to check the units of the metal sphere.

Aw, astronuc, beat me to it :wink:
 
Last edited:
Ahh..I completely forgot the negative..thanks astronuc
 

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