Question

Imagine adding electrons to the pin until the negative charge has the very large value 3.00 mc. how many electrons are added for every 109 electrons already present?

Answer 1

To reach a total charge of 3.00 mc, approximately 10^14 electrons would need to be added for every 10^9 electrons already present.

Step-by-step explanation:

To find the number of electrons added for every 109 electrons present, we need to find the charge per electron and then divide the total charge by that value. From the information given, we know that 108 C/kg is needed to plate a material and that the charge per kilogram for electrons is about 1000 times greater. Therefore, the charge per electron is approximately 105 times greater. So for every 109 electrons present, we would need to add about 1014 electrons to reach a total charge of 3.00 mc.

Answer 2

The formula for this problem would be this:
electrons added = Q /e = 3 x 10^-3 C / (1.6 x 10^- 19 C / electron)
number of electrons added = 1.875 x 10^16
1.875 x 10^16 / 2.62 x 10^24 = 7.156 x10^-9
so 7.156 electrons for every 10^9 are already present.