First slide

Inductance

Question

The potential difference across a 4H inductor vary with time as shown. The current is zero at time t=0. The current (in A) at time t=2 sec is ________

Moderate

Solution

$\begin{array}{l} V_{L} = L \frac{d i}{d t} \Rightarrow L d i = V_{L} d t \\ L (i_{f} - i_{0}) = Area under (V_{L} - t) graph. \\ 4 (i_{f} - 0) = \frac{1}{2} (8) (2) \Rightarrow i_{f} = 2 A \end{array}$

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