1. C 330x10^-6F 2. R 100,000 ohms 3. t = TV=33s 4. Charging: V at one time const

Question

1. C 330x10^-6F  2. R 100,000 ohms  3. t = TV=33s   4. Charging: V at one time constant (1*t) based on your calculations using Equation 1  At time t = rc (one time constant), the voltage across the capacitor has grown to a value of (1 1/e) of Vs ; that is, V= Vs(1 eRCRC) = Vs (1 e1 ) = Vs (1 1 e ) = 0.63*Vs .   5. Charging: V at one time constant (1*t) based on your calculations using V = 0.63 Vs I multiplied the power supply ,4V by .63 and got 2.52. However, I am not sure if that is right because it differs drastically from the expiremental value given by using labquest, 1.371. I am not sure if I am using the the equation right or even using the the right equation. Also I would like to know the equation for discharging if it is different than .37xVs

   

Explanation / Answer

During charging process in RC circuit

Voltage after t sec is

V = Vs*(1-e^(-t/RC))

after one time constant t = RC

then V = Vs*(1-e^(-RC/RC)) = 0.63*Vs = 0.63*4 = 2.52 V

your answer is correct

AND during discharging of RC circuit

after t sec

V = Vs*e^(-t/RC)

V = Vs*e^(-RC/RC) = 0.37*Vs = 0.37*4 = 1.48 V

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