What percentage of the final charge does the capacitor attain after 3 time const

Question

What percentage of the final charge does the capacitor attain after 3 time constants? After 5 time constants? You should find results consistent with Fig. 2, thus explaining why the charge can be considered to have reached its final value after about 0.5 s. Thus, for the circuit parameters given in supplemental question 3, after how long can the capacitor be considered to have reached full charge?

What percentage of the final charge does the capacitor attain after 3 time constants? After 5 time constants? You should find results consistent with Fig. 2, thus explaining why the charge can be considered to have reached its final value after about 0.5 s. Thus, for the circuit parameters given in supplemental question 3, after how long can the capacitor be considered to have reached full charge?

Explanation / Answer

q'/q = 1 - e^-3 = 0.95 q'/q = 1 - e^-5 = 0.993 So after 0.5 s the value of q' = 0.999 q which is approximated to be equal to q

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