What is the time constant?

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1 Answer
Feb 13, 2018

C

Explanation:

philschatz.com

When a capacitor #C# initially having charge #Q_0# discharges through a resistor #R#, the discharge follows a decay curve as

#Q=Q_0e^(-t//tau)#
where time constant #tau=RC# and #Q# is charge remaining on the capacitor after time #t#

Putting #t=tau#, we get

#Q=Q_0e^(-tau//tau)#
#=>Q=Q_0/e#