A voltage wafeform $$v\left( t \right) = 12\,{t^2}$$ is applied across a $$1$$ $$H$$ inductor for $$t \ge 0,$$ with initial current through it being zero. The current through the inductor for $$t \ge 0$$ is given by:

The circuit shown Fig. is equivalent to a load of

Predict the current $${\rm I}$$ in Fig. in response to a voltage of $$20\angle {0^0}\,V.$$ The impedance values are given in $$ohms.$$ Use Thevenin's theorem.

The impedance seen by the source in the circuit in Fig. is given by