Strictly speaking, the equation q = Q0e -t/RC implies that an infinite amount of

Question

Strictly speaking, the equation q = Q0e -t/RC implies that an infinite amount of time is required to discharge a capacitor completely. Yet for practical purposes, a capacitor may be show Top Sites to be fully discharged after a finite length or time. To be specific, consider a capacitor with capacitance C connected to a resistor R to be fully discharged if its charge q differs from zero by no more than the charge of one electron. Calculate the time required to reach this state if C = 0.920 mu F , R = 690k Ohm , and Q0 = 7.20 mu C. How many time constants is this?

Explanation / Answer

Q = Q0 e^(-t/(RC))

1.6E-19=7.2E-6*e^(-t/(690.0E3*0.92E-6))

t=19.96 s

b)

t/tau = 19.96/(0.92E-6*690.0E3)=31.4

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