Write mathematical expression for current ilnbspand the, Electrical Engineering

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Write mathematical expression for current ilnbspand the

For the network of given figure:

a. Write the mathematical expression for the current i_L and the voltage v_L following the closing of the switch.

b. Determine the mathematical expressions for i_Land v_L if the switch is opened after a period of five time constants has passed.

c. Sketch the waveforms of i_L and v_L for the time periods defined by parts (a) and (b).

d. Sketch the waveform for the voltage across R₂ for the same period of time encompassed by i_L and v_L. Take careful note of the defined polarities and directions of given figure.

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