metal sphere has a charge of +10C. What is the net charge after 5.1 x 1013 electrons have been placed on it?
To find the net charge on the metal sphere after adding 5.1 x 10^13 electrons, you need to consider the charge of each electron and the initial charge of the sphere.
Each electron has a charge of -1.6 x 10^-19 C.
To find the total charge contributed by the electrons, multiply the charge per electron by the number of electrons added:
Total charge = (charge per electron) x (number of electrons)
= (-1.6 x 10^-19 C) x (5.1 x 10^13 electrons)
= -8.16 x 10^-6 C
Since the initial charge of the metal sphere is +10 C, you need to add the charge contributed by the electrons to the initial charge to determine the net charge:
Net charge = Initial charge + Total charge added
= 10 C + (-8.16 x 10^-6 C)
≈ 10 C - 0.00000816 C
Thus, the net charge on the metal sphere after adding 5.1 x 10^13 electrons is approximately 10 C - 0.00000816 C.