The current in a wire at time t is given by the expression I = (2.0 A)e^{-t/(2.0 μs)}, where t is in microseconds and t ≥ 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 C at t = 0 μs.
b. Graph Q versus t for the interval 0 ≤ t ≤ 10 μs.