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Capacitor Charge & Discharge Calculator

Calculate the voltage across a capacitor during its charging or discharging phase in a resistor-capacitor (RC) circuit using exponential equations.

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What this calculator is doing

This calculator models the voltage across a capacitor at a given time in an RC circuit for both charging and discharging scenarios.
Charging Equation:
\[ V(t) = V_{\text{source}} \cdot \left(1 - e^{-t / (RC)}\right) \] Discharging Equation: \[ V(t) = V_0 \cdot e^{-t / (RC)} \] Where:
- \( V(t) \) is the voltage across the capacitor at time \( t \)
- \( V_{\text{source}} \) is the source voltage (for charging)
- \( V_0 \) is the initial capacitor voltage (for discharging)
- \( R \) is resistance in ohms (Ω)
- \( C \) is capacitance in farads (F)
- \( t \) is time in seconds (s)
This allows engineers to quickly estimate how fast a capacitor will charge or discharge in an RC timing circuit.

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