A metal sphere has a charge of -6 µC. How many excess electrons are there on the sphere?

To determine the number of excess electrons on the metal sphere, we need to use the formula relating charge to the number of electrons. The charge on a single electron is -1.6 x 10^-19 coulombs (C).

First, convert the charge on the metal sphere from microcoulombs to coulombs:

-6 µC = -6 x 10^-6 C

Next, divide the charge by the charge on a single electron to find the number of excess electrons:

(-6 x 10^-6 C) / (-1.6 x 10^-19 C)

This calculation will give us the number of excess electrons on the sphere.