Chapter 27, Problem 60EAP

The current in a wire at time t is given by the expression $I=\left(\text{2}.0\text{ A}\right)e^{-tl\left(2.0\mu s\right)}$ , where t is in microseconds and $t\ge 0$ .

a. Find an expression for the total amount of charge (in coulombs) that has entered the wire at time t. The initial conditions are $Q=0\text{C}$ at $t=0\mu s$ .

b. Graph Q versus t for the interval $0\le t\le 10\mu \text{s}$ .