Question

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?

Answer 1

I tried this:

Explanation:

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]`