A metal sphere has a charge of +6.4 C. What is the net charge after 4.1 x 1013 electrons have been placed on it?
To find the net charge of the metal sphere after placing 4.1 x 10^13 electrons on it, we need to understand the charge carried by an electron and how it relates to the overall charge.
The charge carried by an electron is -1.6 x 10^(-19) C. This means that each electron has a negative charge of -1.6 x 10^(-19) C.
Given that 4.1 x 10^13 electrons are placed on the metal sphere, we can calculate the total charge carried by these electrons.
Total charge = (number of electrons) x (charge per electron)
Total charge = (4.1 x 10^13) x (-1.6 x 10^(-19) C)
Calculating this, we have:
Total charge = -6.56 x 10^(-6) C
Now, to find the net charge of the metal sphere after placing the electrons, we need to add the charge carried by the electrons to the initial charge of the sphere.
The initial charge of the metal sphere is +6.4 C.
Net charge = initial charge + total charge
Net charge = 6.4 C + (-6.56 x 10^(-6) C)
Calculating this, we have:
Net charge = 6.4 C - 6.56 x 10^(-6) C
Therefore, the net charge of the metal sphere after placing 4.1 x 10^13 electrons on it is approximately 6.4 C minus a very small negative charge.