RC Circuits: Charge/Discharge Time & Capacitors/Resistances

AI Thread Summary
In RC circuits, the time taken for a capacitor to charge or discharge is directly related to both the resistance (R) and capacitance (C). The RC time constant, represented as τ (tau), is calculated by multiplying resistance and capacitance (τ = R × C). This time constant indicates the duration needed for the capacitor to reach approximately 63.2% of its maximum charge during charging or to drop to about 36.8% during discharging. As either the resistance or capacitance increases, the time required for charging or discharging also increases. Understanding this relationship is crucial for analyzing the behavior of RC circuits.
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In RC circuit, what is the mathematic relationship between the time of charge or dischare and the capacitors ? time of charge or discharge andn the resistances?
I know that as the capacitor or the resistance is increased, the time it take to charge is also increase as well.
But I am not sure about the mathematic relationship though. Please help me out guys!
 
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There's an irrational number e which has a value close to 2.718 . It's the base of natural logarithms. The time constant RC is the time required for a capacitor C that is charging or discharging through a resistor R to reach the fraction (1/e) of its final value.
 

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