RC Circuit find capacitor charge

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In the discussion on finding the charge and current in an RC circuit with a resistor of 130 Ω and a capacitor of 40 µF connected to a 9.0-V battery, participants clarify the equations needed for the calculations. The charge on the capacitor after one time constant (τ = RC) can be calculated using Q = Qo[1 - e^(-t/(RC))], where Qo is the maximum charge given by Qo = C*V. For the current, the formula I = dQ/dt = (Qo/RC)e^(-t/(RC)) is used. Confusion arises regarding the correct application of these equations and the values for Qo and current. Ultimately, participants emphasize the importance of correctly substituting values into the equations to find accurate results.
matt72lsu
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Homework Statement


The capacitor in an RC circuit (R = 130 \Omega, C = 40uF) is initially uncharged.
1) Find the charge on the capacitor in the circuit one time constant (tau = RC) after the circuit is connected to a 9.0- V battery.
2) Find the current in the circuit one time constant (\tau = RC) after the circuit is connected to a 9.0-V battery.

Homework Equations


R = V/I
Q = qo[1-e^-t(RC)] ?


The Attempt at a Solution


Im actually not sure I even have the correct equations and I'm not sure what to use for qo
 
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matt72lsu said:

Homework Statement


The capacitor in an RC circuit (R = 130 \Omega, C = 40uF) is initially uncharged.

Homework Equations


R = V/I
Q = qo[1-e^-t(RC)] ? not correct


The Attempt at a Solution


Im actually not sure I even have the correct equations and I'm not sure what to use for qo


Q=qo[1-e^(-t/(RC))]

ehild
 
matt72lsu said:
R = V/I
Q = qo[1-e^-t(RC)] ?

Im actually not sure I even have the correct equations and I'm not sure what to use for qo

Qo=C*V
 
I'm so confused
 
In the problem C and V is given. When the capacity is fully charged, the maximum charge Qo = C*V. Find this one.
In the relevant equation, put t = RC and find Q.
 
i got the first part but i got the second part wrong. i did V/R = 6.9e-2. then i multiplied that by 1-e^-1 and got 4.4e-2 then multiplied that by 1000 to go from A to mA and got 44. where did i go wrong?
 
There is a similar formula to the Q=qo[1-e^(-t/(RC))] for I(ntensity). It is a must have.
 
yeah I used that and substituted qo for V/R and worked it out the same way i did the first one
 
The current I = dQ/dt = (qo/RC)[1-e^(-t/(RC))]
Now find the current.
 
  • #10
i can't wrap my mind around this !
 
  • #11
matt72lsu said:
i can't wrap my mind around this !
The current I = dQ/dt = (qo/RC)[e^(-t/(RC))]
Now find the current.
 

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