RC Circuits: Calculating Voltage

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Homework Help Overview

The discussion revolves around calculating the time taken for the voltage across a capacitor array in an RC circuit to reach 80% of the initial voltage (Vo). The participants are exploring the relationship between voltage, resistance, and capacitance in the context of parallel capacitors.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to derive an expression for the time taken for the voltage across the capacitor array to reach a specific percentage of the initial voltage. Questions are raised about the implications of the voltage ratio Vc/Vo and the absence of specific values for Vc and Vo.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the relationships between the variables involved. Some have provided equations related to the problem, while others are questioning the assumptions and definitions necessary to progress.

Contextual Notes

There is a lack of specific numerical values for Vc and Vo, which some participants note as a constraint in their attempts to solve the problem. The original poster expresses difficulty in understanding the application of the equations provided.

rickstar008
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I've been trying to answer the following equation but I just can't get my head around it!

'calculate the time taken 't' for the voltage over capacitor array (Vc) to reach 80% of Vo, in terms of Vo, R, C1 and C2 (caps are in parallel)'



I know I need these two equations but I just don't know what to do with them:
Vc = Vo (1 - e^[-(t/tau)])
tau = R.C



I have tried solving it but I just doesn't make sense and there isn't an RC circuit calculator that I can check my answer with :(, anyways help would be fantastic, thanks
 
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What is Vc/Vo when Vc reaches 80% of Vo?
 
Hi there, in this part of the question, the values of Vc and Vo aren't given so I'm not too sure where to go from there
 
No matter what the actual value of Vc is, the ratio Vc/Vo is...?
 
oooops sorry, the exact question I have is:

1) Consider the circuit in fig. 1
a) Derive the expression for the time taken for the p.d., Vc, across the capacitor array to reach 80% of Vo in terms of C1, C2, R and Vo
 
rickstar008 said:
oooops sorry, the exact question I have is:

1) Consider the circuit in fig. 1
a) Derive the expression for the time taken for the p.d., Vc, across the capacitor array to reach 80% of Vo in terms of C1, C2, R and Vo

And again I ask you to consider what the statement "Vc across the capacitor array to reach 80% of Vo" implies for the ratio Vc/Vo.
 

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