The current in and the voltage across a 5 H inductor are known to be zero for t ≤ 0. The v...

The current in and the voltage across a 5 H inductor are known to be zero for t ≤ 0. The voltage across the inductor is given by the graph in Figure for t ≥ 0.

a) Derive the expression for the current as a function of time in the intervals 0 ≤ t ≤ 1 s, 1s ≤ t ≤ 3 s, 3 s ≤ t ≤ 5 s, 5 s ≤ t ≤ 6 s, and 6 s ≤ t < ∞.

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b) For t > 0, what is the current in the inductor when the voltage is zero?

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c) Sketch i versus t for 0 ≤ t < ∞.