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    Capacitor Circuits Calculator

    Calculate RC circuit charging and discharging behavior with time constants and energy storage

    Quick examples:
    Quick examples:

    RC Charging Circuit

    1000.00 ms
    Time Constant (τ)
    1.2000 mC
    Max Charge
    7.2000 mJ
    Max Energy

    Time Constant Milestones

    τTimeCharged
    1τ1000.00 ms63.21%
    2τ2000.00 ms86.47%
    3τ3000.00 ms95.02%
    4τ4000.00 ms98.17%
    5τ5000.00 ms99.33%

    Formulas

    τ = RC
    Charging: V(t) = V₀(1 - e^(-t/τ))
    Discharging: V(t) = V₀ × e^(-t/τ)

    After 5τ, charging reaches 99.3% and discharging drops to 0.7%.

    About RC Circuits Calculator

    Calculate the charging and discharging behavior of resistor-capacitor (RC) circuits. This tool computes time constants, voltage, current, charge, and energy at any point in time using exponential equations.

    Key Concepts

    • Time constant (τ = RC) determines how quickly the capacitor charges or discharges
    • After 1τ, charging reaches 63.2% and discharging drops to 36.8%
    • After 5τ, the circuit is considered fully charged or discharged (>99%)
    • Energy stored in a capacitor: E = ½CV²

    Common Applications

    • Electronics design and timing circuits
    • Filter circuits in audio and signal processing
    • Power supply smoothing and decoupling
    • Physics and electrical engineering education