Capacitor Discharge Time Formula:
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Definition: This calculator estimates the time required for a capacitor to discharge to about 1% of its initial voltage (99% discharge) through a resistor.
Purpose: It helps electronics engineers, hobbyists, and students determine how long a capacitor will take to discharge in a given RC circuit.
The calculator uses the formula:
Where:
Explanation: The time constant (τ = RC) determines how quickly a capacitor discharges. Five time constants (5RC) represents ~99% discharge.
Details: Knowing discharge times is crucial for circuit design, power management, safety considerations, and timing applications.
Tips: Enter the resistance in ohms and capacitance in farads (use scientific notation for small values, e.g., 0.000001 for 1μF). All values must be > 0.
Q1: Why 5 time constants for discharge time?
A: After 5RC, the capacitor voltage drops to about 1% of its initial value (e^-5 ≈ 0.0067 or 0.67%).
Q2: What's the time constant (τ) used for?
A: One time constant (RC) is when voltage drops to ~37% of initial value. It's the basic unit for RC circuit timing.
Q3: Does this work for charging too?
A: Yes, the same 5RC rule applies for ~99% charge when charging through a resistor.
Q4: How accurate is this calculation?
A: It's theoretically precise for ideal components. Real-world factors like component tolerances may cause slight variations.
Q5: Can I calculate partial discharge times?
A: Yes, use t = -RC × ln(V/V₀) where V is desired voltage and V₀ is initial voltage.