How are Resistance, Capacitance and Time related?

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SUMMARY

The relationship between resistance, capacitance, and time is defined by the time constant formula τ = RC, where τ represents the time constant, R is resistance, and C is capacitance. In an RC circuit, the voltage across the capacitor increases exponentially over time, described by the equation Vc(t) = Vf(1 - e^-t/[tau]), where Vf is the final voltage and t is the time. After five time constants, the circuit reaches a steady state where the capacitor is fully charged, and the voltage across the resistor decreases as the capacitor charges. This concept is crucial in electrical engineering, particularly in analyzing RC circuits.

PREREQUISITES
  • Understanding of RC circuits
  • Familiarity with the time constant concept
  • Knowledge of exponential functions
  • Basic principles of voltage and charge in capacitors
NEXT STEPS
  • Study the implications of the time constant in different circuit configurations
  • Learn about Thevenin's theorem and its application in circuit analysis
  • Explore the behavior of capacitors in AC circuits
  • Investigate the role of resistance in charging and discharging capacitors
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in understanding the dynamics of RC circuits and the behavior of capacitors over time.

Sociopath^e
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without revealing any sort of base info such as current, voltage or charge
 
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Originally posted by Sociopath^e
without revealing any sort of base info such as current, voltage or charge

That's like asking to drink something that isn't a liquid.
 
well it doesn't matter, i found out in the end, i meant time *constant*
so its τ = RC
 
well since I am new here and I feel like a peon compared to some of the genius minds here, I'll explain some more about resistance, capacitance, and time because its something I actually understand!

[tau] = RC you knew that.. but 5 * the time constant of the circuit is considered the "steady state" in which a capacitor doesn't charge anymore.

As time increases, the capacitance increases exponentially according to a certain equation: Vc(t) = Vf( 1 - (e^-t/[tau]) ) where Vf is the total voltage, t is the time in which you would like to observe the voltage "on" the capacitor, and [tau] is the time constant.

since an RC circuit is (when reduced according to Thevenin for all of you critics, hehe ) a series circuit, the voltage across the resistor will be the total votage minus the voltage across the capacitor at that time, so as the voltage across the capacitor rises, the voltage across the resistor falls.

Probably more than you wanted to know, but hey I figured I might as well make a good impression, because I'll probably be sounding like a jackass rather soon.
 
time constant is appliable to condensators and other fields of el. engineering, but it doesn't reveal whole RCT function.
 

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