An inductor with an inductance of 6.8[μH] is connected in parallel with an ideal voltage source. At t = 0, the voltage source has a voltage of zero, and the energy stored in the inductor is zero. The voltage stays zero for 50[μs], and then the voltage of the voltage source increases instantaneously to 5[V]. Then, 10[μs] after that, the voltage source decreases instantaneously to a value of -2[V]. Finally, 20[μs] later the voltage source instantaneously returns to zero, and stays at that value. In summary, the voltage makes three step jumps in value, at 50[μs], at 60[μs], and at 80[μs] after t = 0. Required:
a. Find expressions for the energy stored in the inductor, as a function of time, for the time period 0 < t < 100[μs].
b. Plot the energy stored in the inductor, as a function of time, for the time period 0 < t < 100 [μs].