199k views
1 vote
A metal sphere has a charge of +8.0 mc. what is the net charge after 6.0×1013 electrons have been placed on it?

1 Answer

3 votes
Let's calculate the total charge of
N=6.0 \cdot 10^(13) electrons. Each electron has a charge of
e=-1.6 \cdot 10^(-19)C, so the total charge is

Q_e=Ne=(6.0 \cdot 10^(13))(-1.6 \cdot 10^(-19)C)=-9.6 \cdot 10^(-6)C

The initial charge of the sphere was

Q_i = +8.0 mC=8.0 \cdot 10^(-3)C
Therefore, the final net charge will be

Q_f = Q_i + Q_e = 8.0\cdot 10^(-3)C-9.6 \cdot 10^(-6)C=+7.99 \cdot 10^(-3)C
User Tattvamasi
by
7.4k points