The current in a 60 H inductor is known to be i_l(t) = 10e^(-5t) A, t>= 0
1- Find the voltage across the inductor for t > 0
2- Sketch the voltage and the current as a function of time
3- Find the power ( in microwatts) at the terminals of the inductor when t = 200 ms and sketch the power as a function of time
4- Find the energy ( in micro-joules ) stored in the inductor at 200 ms and sketch the energy as a function of time
5- Find the maximum energy ( in micro-joules) stored in the inductor and the time ( in milli-seconds) when it occurs