Calculation of RC Circuit charging time

The charge time calculation method of a simple RC Circuit. The time constant is Tao = RC. Generally, three Tao can be fully charged.

V0 is the initial voltage value of the capacitor;
V1 is the final charged or placed voltage value of the capacitor;
VT is the voltage value of the capacitor at t time.
Then,
Vt = "V0" + (V1-V0) * [1-exp (-T/RC)]
Or,
T = rc * ln [(V1-V0)/(V1-Vt)]

 

Calculate the time for charging to 90% VCC. (V0 = 0, V1 = VCC, VT = 0.9vcc)

 

Import formula: 0.9vcc = 0 + VCC * [[1-exp (-T/RC)]

 

BOTH [1-exp (-T/RC)] = 0.9;

Exp (-T/RC) = 1, 0.1

-T/rc = ln (0.1)

T/rc = ln (10) ln10 about 2.3

 

That is, t = 2.3rc.

Enter r = 10 k c = 10uf.

T = 2.3*10 K * 10 UF = 230 Ms

Calculation of RC Circuit charging time