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An inductor has a current I(t)=(0.500 \mathrm{~A}) \cos \left[\left(275 \mathrm{~s}^{-1}\right) t\right] flowing through it. If the maximum emf across the inductor is equal to 0.500 \mathrm{~V}, what is the self-inductance of the inductor?A) 4.37 \mathrm{mH}B) 3.64 \mathrm{mH}C) 2.75 \mathrm{mH}D) 0.73 \mathrm{mH}E) 1.43 \mathrm{mH}\begin{array}{l}V_{\max }=0.500 \mathrm{~V} \\I(t)=(0.500 A) \cos \left(2755^{-1} t\right) \\I(t)=I_{m} \cos \omega t \\w=2755^{-1} \\I_{m}=0.500 \mathrm{~A} \\I_{m}=\frac{V_{m}}{X_{L}} \\x_{L}=\frac{V_{m}}{I_{m}} \\\omega L=1 \\275 L=1 \\L=3.64 \times 10^{-3} \mathrm{H} \\L=3.64 \mathrm{mH} \\\end{array} ...