Halliday, Resnick & Walker — Induction and Inductance: Problem 16

16 The current \( i \) through a \( 4.6\text{ H} \) inductor varies with time \( t \) as shown by the graph of Fig. 30-27, where the vertical axis scale is set by \( i_s = 16\text{ A} \) and the horizontal axis scale is set by \( t_s = 6.0\text{ ms} \). The inductor has a resistance of \( 12\text{ }\Omega \). Find the magnitude of the induced emf \( \mathcal{E} \) during time intervals (a) \( 0 \) to \( 2\text{ ms} \), (b) \( 2\text{ ms} \) to \( 5\text{ ms} \), and (c) \( 5\text{ ms} \) to \( 6\text{ ms} \). (Ignore the behavior at the ends of the intervals.)