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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.

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dexteright02

Data:

The charge of a body depends on the amount of electrons it gains or loses. Q = n * e, where "Q" is charge, "n" is the number of plus or minus electrons, and "e" is the fundamental charge of an electron \(1,6 * 10 ^{-19}C\). To know if the body has gained or lost, we look at the signal of its charge, remembering that the electron is negative. The charge of the body is 4 μC (positive), so there is a lack of electrons! 

Q = 4 μC → \(Q = 4*10^{-6}\)
\(e = 1,6 * 10 ^{-19}C\)
\(n = ?\)

We have:
\(Q = n*e\)
\(n = \frac{Q}{e}\)
\(n = \frac{4*10^{-6}}{1,6 * 10 ^{-19}}\)
\(n = 2,5*10^{-6-(-19)}\)
\(n = 2,5*10^{-6+19}\)
\(\boxed{n = 2,5*10^{13}electrons}\)

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