Calculating Net Charge: How Many Electrons Does it Take?

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To calculate the net charge of a system with 2.0×10^7 electrons, the charge of a single electron, e = 1.60 * 10^-19 C, is used. Multiplying the charge of one electron by the total number of electrons gives (1.60 * 10^-19 C) * (2.0×10^7) = 3.2 * 10^-12 C. The initial calculation mistakenly presented the result as 3.2 * 10^-10 C, indicating a possible error in exponent handling. Clarification on exponent calculations is needed to ensure accuracy in determining the net charge. The correct net charge for the system is 3.2 * 10^-12 C.
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Homework Statement



Find the net charge of a system consisting of 2.0×10^7 electrons.


Homework Equations


e = 1.60 * 10^-19 C


The Attempt at a Solution




(1.60 * 10^-19) * (2.0×10^7) = 3.2 * 10^-10

...but I got it incorrect. I'm confused as to how else I'm supposed to solve this.
 
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Check those exponents.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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