A metal sphere is insulated electrically and is given a charge. If 50 electrons are added to the sphere in giving a charge, how many Coulombs are added to the sphere?
Please show step by step...s
This question essentially comes down to how many Coulombs of charge 50 electrons have (i.e., the sphere, the initial charge, etc., are irrelevant). So, knowing that one elementary charge is
e = 1.6×10^-19 C
and that 50 electrons will have a total charge of -50e,
-50e × (1.6×10^-19 C/e) = -8.0×10^-18 C
My parents use to go to Columbia College and would always bring me, and I always wrote down what their teacher put on the board... I hope this helps. :)
To find the charge added to the metal sphere in Coulombs, we need to know the charge of a single electron, as well as the number of electrons added.
1. Charge of a single electron:
The charge of an electron is given by the elementary charge, approximately equal to 1.6 × 10^-19 Coulombs.
2. Number of electrons added:
The problem states that 50 electrons are added to the sphere.
Now, we can calculate the total charge added to the sphere:
Charge added to the sphere = (Charge of a single electron) × (Number of electrons added)
Substituting the values:
Charge added to the sphere = (1.6 × 10^-19 C/electron) × (50 electrons)
Calculating this gives us:
Charge added to the sphere = 8 × 10^-18 Coulombs