The charge flown through a circuit in the time interval between `t and t+dt` is givne by `edq=e^(-t/tau)dt,` where `tau` is a constnt. Find the total charge flown through the circuit betweent `t=0 to t=tau`.

Explanation

To find the total charge flown through the circuit between \( t = 0 \) and \( t = \tau \), we start with the expression for the differential charge \( dq \) given by:

\[ dq = e^{-\frac{t}{\tau}} dt \]

### Step 1: Set up the integral for total charge
The total charge \( Q \) that flows through the circuit from \( t = 0 \) to \( t = \tau \) can be found by integrating \( dq \):
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