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RC transients
Track vC(t) from the continuous initial value to the settled value with τ = RC.
Key formulas
- Complete first-order response
The complete response is an exponential interpolating v0 and v∞ with time constant τ.
- Capacitor charging
Capacitor charging: v(t)=V(1−e^{−t/τ}) rises from 0 toward V exponentially.
- Capacitor discharging
Capacitor discharge: v(t)=V e^{−t/τ} falls exponentially toward 0.
- RC time constant
Computes RC time constant from the circuit model and the stated conditions.