Time for capacitor charging in RLC circuit.

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Homework Help Overview

The discussion revolves around determining the time it takes for a capacitor in a series RLC circuit to charge to 0.63% of the source voltage. Participants are exploring the concept of time constants in the context of RLC circuits, contrasting it with simpler RC circuits.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to clarify the definition of time constant in an RLC circuit and how it relates to capacitor charging. Some participants question whether the circuit is connected to a battery and seek confirmation on the percentage of voltage being referenced. Others suggest that oscillations may affect the voltage across the capacitor and inquire about the specific values of R, L, and C.

Discussion Status

The discussion is active with participants raising questions about the initial conditions and the complexity of the equations involved. There is an acknowledgment of the need to solve differential equations to understand the capacitor's behavior, but no consensus has been reached on the specific time constant or its implications.

Contextual Notes

Participants note the potential for oscillations in the circuit and the importance of initial conditions, such as the charge and current being zero at the start. There is an emphasis on the lack of specific values for the components involved, which may influence the analysis.

Rts11
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Homework Statement


In series RLC circuit how much time it takes for capacitor to charge to 0.63% of source voltage..?
time constant is the time taken by a capacitor to charge to 0.63% of source voltage and in rc circuit time constant is RC. but what about for capacitor in series RLC circuit..?

Homework Equations

The Attempt at a Solution


I searched allover the web and Wikipedia but i didn't find anything. i saw a formula saying that time constant is
2L/R and some where i saw time constant as 1/R*(L/C)1/2.but i don't know it is for inductor(L) or capacitor(C) and how to relate it to capacitor voltage.
.
 
Last edited:
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Rts11 said:

Homework Statement


In series RLC circuit how much time it takes for capacitor to charge to 0.63% of source voltage..?

.
Copy the whole text of the original problem, please. Is the RLC circuit connected to a battery by a switch?
 
ehild said:
Copy the whole text of the original problem, please. Is the RLC circuit connected to a battery by a switch?
Yes the RLC circuit is connected to a battery by closing the switch and how much time in takes only the capacitor to get 0.63% of source voltage.
 
Is it 63% of the source voltages or 0.63 %?
There can be oscillations in the circuit, so the voltage across the capacitor can be a given value quite a few times, depending the actual values of R, L, C. Were they given?
You have two solve the differential equation for the charge on the capacitor, taking the initial conditions into account. In this case it is that both the charge and the current (time derivative of the charge) are zero. You get quite a complicated equation.
 

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