Calculating Charge on Capacitor: 6.0 uF, 12V, and 100ohm Resistor

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Homework Help Overview

The problem involves a 6.0 µF capacitor charged to 12V and connected to a 100-ohm resistor. The inquiry focuses on determining the charge on the capacitor 6.0 ms after the switch is closed.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the appropriate equations for charging and discharging a capacitor, questioning which formula to apply in this scenario. There is also confusion regarding the time constant and the interpretation of the time variable in the equations.

Discussion Status

Some participants have provided equations for both charging and discharging scenarios, while others have pointed out potential miscalculations in the time variable. There is ongoing exploration of the correct approach to find the charge on the capacitor.

Contextual Notes

Participants are navigating through the specifics of the problem, including the correct interpretation of the time constant and the equations relevant to charging versus discharging. There is a noted discrepancy in the time conversion that may affect calculations.

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Hard problemT_T Charge on capacitor??

Homework Statement


A 6.0 uF capacitor is charged up to 12V and subsequently connected through a witch to a 100ohm resistor. At t=0, the switch is closed. What's the charge on the capacitor 6.0ms(=.0006sec which is RC) after the switch is closed??


Homework Equations


Q= Qmax e^(-t/RC)

Please tell me some more equations like this(Q= Qmax e^(-t/RC), I =Imax e^(-t/RC)...etc..
do i use these when what is discharging??!or charging?!)


The Attempt at a Solution


-t/RC is -1 ?? is it right?!

I don't know what to do T_T/...

Help needed ASAP Thank you very much
 
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Charging: q = CV(1 - exp(-t/RC))
Discharging: q = q0 * exp(-t/RC)

In this case, i think you should use discharging eq and there is miscalculation in t/RC.
 


hmmm.. the answer is 3.3 x 10^-9C

I have no idea how to get this answer...

I do know that I should use Discharging Equation...

But I don't get the answer...

Please help me again! Thank you soo much!
 


6 ms = 0.006 s (you have an extra zero).
 

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