Capacitance Impulse Discharge formula

Calculation formula of capacitance charge and discharge time
V0 is the initial voltage value on the capacitor;
The V1 is the voltage value that the capacitance can eventually be charged to or put on;
The Vt is the voltage value on the T-moment capacitor.
The
Vt= "V0" + (v1-v0) * [1-exp (-T/RC)]
Or
t = rc*ln[(v1-v0)/(V1-VT)]
For example, a battery with a voltage of E is charged by R to a capacitance C with an initial value of 0
V0=0,v1=e, the voltage charged to the T-moment capacitor is:
vt= "E" *[1-exp (-T/RC)]
As another example, the capacitance C of the initial voltage E is calculated by the discharge time of the r discharge capacitor.
V0=e,v1=0, so the voltage on the T-moment capacitor is:
vt= "E" *exp (-T/RC)
As another example, the initial value of 1/3VCC capacitance C through R charge, the final charge is
VCC, what is the time required to charge the 2/3VCC?
V0=VCC/3,V1=VCC,VT=2*VCC/3, so
t= "RC" *ln[(1-1/3)/(1-2/3)]=RC*LN2
=0.693rc
Note: the above exp () denotes an e-based exponential function; Ln () is an e-base log letter

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Τ=rc
t=0.7τ half discharge (or half charge), t= (τ〉) Discharge end

Capacitance Impulse Discharge formula