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

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SUMMARY

The discussion focuses on calculating the charge on a 6.0 µF capacitor charged to 12V and connected to a 100-ohm resistor after closing a switch at t=0. The relevant equations for discharging a capacitor are provided, specifically Q = Qmax e^(-t/RC) for discharging and Q = CV(1 - exp(-t/RC)) for charging. The correct calculation for the charge at t=6.0 ms is determined to be 3.3 x 10^-9 C, with an emphasis on correcting the time conversion from milliseconds to seconds. Miscalculations in the time variable were identified as a common source of confusion.

PREREQUISITES
  • Understanding of capacitor charging and discharging principles
  • Familiarity with the formula Q = CV for capacitors
  • Knowledge of exponential decay in electrical circuits
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of the capacitor discharge equation Q = Q0 * exp(-t/RC)
  • Learn about time constant (τ = RC) in RC circuits
  • Explore practical applications of capacitors in timing circuits
  • Investigate the effects of resistance and capacitance on discharge rates
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Students studying electrical engineering, physics enthusiasts, and anyone looking to understand capacitor behavior in RC circuits.

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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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