How Does Capacitor Configuration Affect the RC Circuit Time Constant?

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SUMMARY

The discussion focuses on calculating the time constant of an RC circuit with three identical capacitors connected in two configurations. In configuration A, the time constant is established at 0.34 seconds. Participants are tasked with deriving the capacitance from this time constant and applying it to determine the time constant for configuration B. The solution involves using the formula t = RC and the principles of series and parallel combinations to find the equivalent capacitance for both configurations.

PREREQUISITES
  • Understanding of RC circuits and time constants
  • Familiarity with series and parallel capacitor combinations
  • Knowledge of the formula t = RC
  • Ability to manipulate algebraic expressions to solve for capacitance
NEXT STEPS
  • Learn how to calculate equivalent capacitance in series and parallel circuits
  • Study the impact of capacitor configuration on time constants in RC circuits
  • Explore advanced circuit analysis techniques using Kirchhoff's laws
  • Investigate the effects of different resistor values on time constants in RC circuits
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Students studying electrical engineering, electronics enthusiasts, and anyone looking to deepen their understanding of RC circuits and time constant calculations.

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Homework Statement



Three identical capacitors are connected with a resistor in two different ways. When they are connected as in part A of the drawing, the time constant to charge up this circuit is .34s. What is the time constant when they are connected with the same resistor as in part B?


Homework Equations



t = RC

The Attempt at a Solution



I think the first thing I would need to do is find the capacitance of the first circuit, but I don't know how to do that since I only know the time.
 

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Can you find an expression for the capacitance, C, using the time constant given?

HINT: Solve for C in terms of \tau using info from circuit A. Then use that expression for C to solve for the time constant in circuit B.
 
Find the equivalent capacitance in the circuit A and B using series and parallel combination formula.
Then write two equations for time constant, one for A and other for B.
From them find the time constant of B
 

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