RC Circuits: Voltage as a function of time

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In the RC circuit discussion, participants analyze the relationship between current, voltage, and charge in a circuit with a 6 V battery, a 100 Ohm resistor, and a 2.0 microFarad capacitor. At t = 0.000139 s, the current measured is 0.030 A, prompting questions about the relevance of this measurement to calculating the charge on the capacitor. Confusion arises as users attempt to apply both the voltage and charge formulas, leading to different results. It is emphasized that the voltage across the capacitor must be determined separately from the current through the resistor. The discussion highlights the importance of using the correct formulas for voltage and charge in RC circuits.
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Homework Statement



There is an RC circuit with a 6 V battery, a 100 Ohm resistor, and 2.0 microFarad capacitor. At time t = 0, the switch is closed. While this happens, an ammeter measures the current through the resistor. At t = 0.000139 s the ammeter finds that 0.030 A is flowing through the resistor.

a) At this instant in time (t = 0.139 milliseconds) what is the charge on the capacitor?



Homework Equations



V(T) = E (1-e^(-t/RC))
Q(t) = CE(1-e^-t/RC)

The Attempt at a Solution



I solved the equation for t = 0.139, but I was wondering whether or not the stuff about the ammeter measuring the current matters? I mean, if so, then I = 0.030 A and I = R/V and Q = CV, so I could also find the charge that way, but when I do that, I get two different answers. What do you suggest? Thanks in advance!
 
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I don't think the part about the current through the resistor is important - it's different from the current and charge on the capacitor. I think. :)
 
u find the voltage across the resistor
then u subtract it from the emf of the battery to find the voltage across the capacitor
then u multiply that voltage with the capacitance to get charge
 
But the formula is for V_C, the voltage across the capacitor.

And there is a separate formula for charge - the Q(t) one. I tried solving both and got completely different answers (as in I solved the voltage one then did Q = CV).

I don't think that works, esalihm.
 
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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