A metal sphere has a charge of +12uC(microcoulombs). What is the net charge after 2.1 x 10^13 electrons have been placed on it?
To find the net charge of the metal sphere after adding electrons, we need to determine the total charge from the electrons and combine it with the initial charge.
The charge of each electron is -1.6 x 10^-19 C. Hence, the total charge from the 2.1 x 10^13 electrons is:
Total charge = Number of electrons x Charge per electron
Total charge = (2.1 x 10^13) x (-1.6 x 10^-19 C)
Multiplying these values:
Total charge = -3.36 x 10^-6 C
Now, to calculate the net charge, we combine the initial charge (+12 μC) with the charge from the electrons (-3.36 x 10^-6 C):
Net charge = Initial charge + Charge from electrons
Net charge = +12 x 10^-6 C - 3.36 x 10^-6 C
Net charge = (12 - 3.36) x 10^-6 C
Simplifying the calculation:
Net charge = 8.64 x 10^-6 C
Therefore, the net charge of the metal sphere after adding 2.1 x 10^13 electrons is +8.64 μC (microcoulombs).
To find the net charge after placing electrons on the metal sphere, we need to consider the charge of the electrons and the charge of the metal sphere.
Each electron carries a charge of -1.6 x 10^-19 Coulombs.
The total charge provided by the electrons is given by:
Total Charge = Number of Electrons x Charge per Electron
Given:
Number of Electrons = 2.1 x 10^13
Charge per Electron = -1.6 x 10^-19 Coulombs
Plugging in the values:
Total Charge = (2.1 x 10^13) x (-1.6 x 10^-19)
Calculating the total charge:
Total Charge = -3.36 x 10^-6 Coulombs
Therefore, the net charge on the metal sphere after placing 2.1 x 10^13 electrons on it is -3.36 x 10^-6 Coulombs.