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10.5 Calculate how many electrons moved from the one charge to the other.

Ask by Mullins Davey. in South Africa
Mar 16,2025

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To find the number of electrons that moved, divide the total charge \( Q \) by the charge of one electron \( e \). The formula is \( N = \frac{Q}{e} \). For example, if \( Q = 4.5 \times 10^{-7}\,\text{C} \), then \( N \approx 2.81 \times 10^{12} \) electrons moved.

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The Deep Dive

To find the number of electrons that moved from one charge to another, you can use the formula \( Q = n \cdot e \), where \( Q \) is the total charge in coulombs, \( n \) is the number of electrons, and \( e \) is the charge of a single electron (approximately \( 1.6 \times 10^{-19} \) coulombs). If you have a charge of 10.5 coulombs, you would rearrange the formula to find \( n = \frac{Q}{e} \). Plugging in the numbers: \[ n = \frac{10.5}{1.6 \times 10^{-19}} \approx 6.56 \times 10^{19} \text{ electrons.} \] So, around 65.6 quintillion electrons moved! Visualize this: If you were to gather all those electrons, they could easily fill a large stadium! Electrons are about the size of tiny marbles, and 65.6 quintillion of them would create quite the spectacle, wouldn't it? Imagine tossing those "marbles" around as they zoom from one charge to the other, creating the electricity that powers your devices!

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