Why Does Coulomb's Unit Measurement Include Seconds?

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SUMMARY

Coulomb's unit measurement is defined as the total amount of charge carried by a current of one Ampere over one second, resulting in units of Amperes seconds rather than Amperes per seconds. This distinction arises because a coulomb represents a total quantity of charge, not a rate, similar to how energy is defined as power multiplied by time. The mathematical relationship I = dQ/dt confirms that charge (Q) is the integral of current (I) over time (t), reinforcing the concept that coulombs are cumulative. Thus, after two seconds, a current of one Ampere results in two coulombs of charge.

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If a coulumb is defined as the amount of charge carried by a current of one Ampere in a second, why is its units Amperes seconds and not Amperes per seconds?
 
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I=\frac{dQ}{dt} by definition and so Q = \int I\;dt which has a unit of (amperes x seconds)
seems obvious to me, do I understand your question correctly?
 
Yes, I see how it works mathematically. But I just thought "the amount of charge carried by a current of one Ampere in a second" was similar to the amount of charge carried by a current of one Ampere per second" so it would have units of Amperes/S
 
No because a coulomb is a total amount of charge not a rate, so after 2 seconds you have 2 coulombs.
 
yeah, another example Energy = Power x time
and Energy is not a rate, while Power is. so amount of charge is like "energy" in this analogy
 
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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