RC Circuit: Time Dependency on Capacitance & Resistance

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SUMMARY

The discussion clarifies that in a series RC circuit, the time constant is defined as the product of resistance (R) and capacitance (C), which determines the charging and discharging time of the capacitor. While the voltage and current in an RC circuit exhibit exponential behavior over time, the time required for these values to reach specific thresholds is linearly dependent on the time constant (τ = RC). This linear relationship is crucial for understanding the dynamics of RC circuits.

PREREQUISITES
  • Understanding of series RC circuit fundamentals
  • Knowledge of time constant in electrical circuits
  • Familiarity with exponential functions in the context of voltage and current
  • Basic concepts of charging and discharging behavior of capacitors
NEXT STEPS
  • Study the mathematical derivation of the time constant in RC circuits
  • Explore the impact of varying resistance and capacitance on circuit behavior
  • Learn about the applications of RC circuits in timing and filtering
  • Investigate the differences between RC and RL circuits in terms of time response
USEFUL FOR

Electrical engineers, physics students, and anyone interested in circuit design and analysis will benefit from this discussion on the time dependency of RC circuits.

jaejoon89
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Why is time in a series RC circuit linearly dependent on capacitance as charging/discharging time is increased? (same with resistance) I thought RC circuits were exponential.
 
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Please don't think I'm being rude. I'm just picky. I want to be helpful, but I'm getting sleepy, so this will be terse.



jaejoon89 said:
Why is time in a series RC circuit linearly dependent on capacitance as charging/discharging time is increased?
I can only assume that you mean "time constant" for the first "time" in this sentence. This is just a consequence of the very simple definition.



jaejoon89 said:
I thought RC circuits were exponential.
This doesn't mean anything. Perhaps you mean that the dependence of the value of some electrical property depends exponentially on time?
 
Or to put it another way:

The voltage and current are exponential functions of time.

The time required for the voltage or current to reach a specific value is proportional to RC. For example, the time in which the capacitor voltage reaches 50% of its final value.
 

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