Time constant for parallel RC circuit

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SUMMARY

The time constant for a parallel RC circuit is defined as the product of resistance (R) and capacitance (C), represented by the formula τ = RC. In the discussion, a common misconception arises when attempting to simplify the resistance in parallel configurations, leading to confusion about the effective resistance (Rnet). The correct approach emphasizes that the total resistance affecting the time constant is the resistance in series with the capacitor, which remains as RC. Additionally, the implications of using an ideal versus a non-ideal voltage source are highlighted as a critical consideration in circuit analysis.

PREREQUISITES
  • Understanding of RC circuit fundamentals
  • Familiarity with the time constant formula τ = RC
  • Basic knowledge of series and parallel resistance calculations
  • Introduction to Differential Equations for circuit analysis
NEXT STEPS
  • Study the derivation of the time constant in parallel RC circuits
  • Learn about the impact of non-ideal voltage sources on circuit behavior
  • Explore Differential Equations applications in electrical circuits
  • Investigate advanced circuit analysis techniques for complex configurations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying the behavior of RC circuits in both ideal and non-ideal conditions.

Shivang kohlii
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Homework Statement



Question 6.
IMG-20190103-WA0005.jpeg


Homework Equations


Time constant = RC

The Attempt at a Solution


I think answer should be 1/2 RC as Rnet = 1/2R and to convert it to single resistance form we should first find Rnet
But the answer is coming out to be RC . How?

<< Corrected Image added by Mentors >>

upload_2019-1-3_9-49-47.png
 

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Shivang kohlii said:
But the answer is coming out to be RC . How?
What is the total resistance in series with the Capacitor? That is the resistance that shows up in the time constant (assuming the voltage source is ideal)...

Are you familiar with Differential Equations? That would be one way to show how this works in this circuit...
 
Bonus Question -- What if the voltage source is not ideal? How would that change things? :smile:
 

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