A negatively charged balloon has 3.1 μC of
charge.
How many excess electrons are on this bal-
loon?
Answer in units of electrons.
To determine the number of excess electrons on the balloon, we need to use the elementary charge and the given charge of the balloon.
The elementary charge, represented by the symbol e, is the electric charge carried by a single electron or proton. It is approximately equal to 1.6 x 10^-19 Coulombs (C).
Given that the balloon has a charge of 3.1 μC (microCoulombs), we need to convert this to Coulombs. Recall that 1 μC is equal to 10^-6 C. Therefore, the charge on the balloon in Coulombs is:
3.1 μC = 3.1 x 10^-6 C
Now we can determine the number of excess electrons by dividing the charge of the balloon by the elementary charge:
Number of excess electrons = (Charge of balloon) / (Elementary charge)
Number of excess electrons = (3.1 x 10^-6 C) / (1.6 x 10^-19 C)
Calculating this, we find:
Number of excess electrons ≈ 1.94 x 10^13 electrons
Therefore, the balloon has approximately 1.94 x 10^13 excess electrons.
To find the number of excess electrons on the balloon, we need to first find the charge of a single electron, and then divide the total charge of the balloon by the charge of a single electron.
The charge of a single electron is approximately -1.6 x 10^-19 C.
Now, let's calculate the number of excess electrons on the balloon:
Number of excess electrons = Total charge of the balloon / Charge of a single electron
Number of excess electrons = 3.1 μC / (-1.6 x 10^-19 C)
Converting 3.1 μC to Coulombs:
3.1 μC = 3.1 x 10^-6 C
Number of excess electrons = 3.1 x 10^-6 C / (-1.6 x 10^-19 C)
Number of excess electrons ≈ -1.94 x 10^13 electrons
Therefore, there are approximately 1.94 x 10^13 excess electrons on the balloon.