$6\mathrm{.}1$ The current in a inductor is known to be

Find the voltage across the inductor for $($Assume the passive sign convention.$)$

Find the power $($in microwatts$)$ at the terminals of the inductor when

Is the inductor absorbing or delivering power at $200$ ms$?$

Find the energy $($in microjoules$)$ stored in the inductor at $200$ ms$.$

Find the maximum energy $($in microjoules$)$ stored in the inductor and the time $($in milliseconds$)$ when it occurs.