Explanation
lf \mathrm{e} is the induced \mathrm{e}.m.f. in the coil, then \displaystyle \mathrm{e}=-\mathrm{L}\frac{\mathrm{d}\mathrm{i}}{\mathrm{d}\mathrm{t}}
Therefore, \displaystyle \mathrm{L}=-\frac{\mathrm{e}}{\mathrm{d}\mathrm{i}/\mathrm{d}\mathrm{t}}
Substituting values, we get \displaystyle \mathrm{L}=\frac{-8\times 0.05}{-4}=0.1\mathrm{H}
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