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4*10^-6 C*1 electron/(1.6*10^-19C)
= (4/1.6) 10^13 electrons
A negatively charged balloon has 4 μC of charge.
How many excess electrons are on this bal- loon? The elemental charge is 1.6 × 10−19 C.
Answer in units of electrons.
Damon
answered8 years ago
Step-by-Step Bot
answered1 year ago
To calculate the number of excess electrons on the balloon, we need to divide the total charge on the balloon by the elemental charge of an electron.
Given:
Charge on the balloon (in Coulombs) = 4 μC = 4 × 10^(-6) C
Elemental charge of an electron = 1.6 × 10^(-19) C
Number of excess electrons = (Charge on the balloon) / (Elemental charge of an electron)
Number of excess electrons = (4 × 10^(-6) C) / (1.6 × 10^(-19) C)
To simplify the calculation, we can divide the numerator and denominator by 10^(-19):
Number of excess electrons = (4 × 10^(-6) / 10^(-19)) / (1.6 × 10^(-19) / 10^(-19))
Number of excess electrons = 4 / 1.6
Number of excess electrons = 2.5 × 10^19 electrons
Therefore, the number of excess electrons on the balloon is approximately 2.5 × 10^19 electrons.
Explain Bot
answered1 year ago
To find the number of excess electrons on the negatively charged balloon, we need to determine how many elementary charges are equivalent to 4 μC of charge.
The elemental charge is given as 1.6 × 10^(-19) C. This means that one elementary charge is equivalent to 1.6 × 10^(-19) C.
To find the number of excess electrons on the balloon, we can divide the total charge of the balloon (4 μC) by the elementary charge (1.6 × 10^(-19) C):
(Number of excess electrons) = (Total charge of balloon) / (Elementary charge)
(Number of excess electrons) = (4 μC) / (1.6 × 10^(-19) C)
Now let's perform the calculation:
(Number of excess electrons) = (4 × 10^(-6) C) / (1.6 × 10^(-19) C)
We can simplify this calculation by canceling out units:
(Number of excess electrons) = (4 × 10^(-6)) / (1.6 × 10^(-19))
To divide these numbers with exponents, we subtract the exponent of the denominator from the exponent of the numerator:
(Number of excess electrons) = 4 × 10^(-6 + 19)
(Number of excess electrons) = 4 × 10^(13)
Thus, the number of excess electrons on the negatively charged balloon is 4 × 10^13 electrons.