Given the equation Q equals Q sub zero times e to the quantity negative t over R C, rearrange the equation to solve for t?

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Answer 1 · 2018-06-29T22:52:06

I tried this:

I suspect this is related to the discharge of a capacitor as:

#Q=Q_0e^(-t/(RC))#

let us rearrange it as:

#Q/Q_0=e^(-t/(RC))#

take the natural log of both sides:

#ln[Q/Q_0]=ln[e^(-t/(RC))]#

#ln[Q/Q_0]=-t/(RC)#

and finally:

#t=-RC*ln[Q/Q_0]#