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

In summary, a metal sphere with a charge of +5.0 µC has a deficit of electrons. Adding 7.0 x 10^13 electrons, each with a charge of -1.6022 x 10^-19 C, results in a net charge of -1.12 x 10^-5 µC on the metal sphere. It is important to remember the negative charge of electrons and to check the units when calculating the net charge.
  • #1
MD2000
38
0
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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  • #2
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.
 
  • #3
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:
 
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  • #4
Ahh..I completely forgot the negative..thanks astronuc
 

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

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