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For LR circuit\begin{array}{l}(\text { time condant })=\frac{L}{R} \\i=i_{0}\left(1-e^{-t / r}\right)\end{array}Giver\begin{array}{l}i=\frac{i_{0}}{2} \quad \& \quad t=2-8 \times 10^{-3} \mathrm{~s} \\\frac{i_{0}}{2}=i_{0}\left(1-e^{-t / \tau}\right) \\\Rightarrow \quad 2=e^{t / \tau} \\\ln 2=\frac{t}{\tau}=\frac{t R}{L} \\\Rightarrow R=\ln 2 \times \frac{L}{t}=\frac{\ln 2 \times 200 \times 10^{-3}}{2.8 \times 10^{-3}} \\R=49.5 \Omega \\\tau=\frac{200 \times 10^{-3}}{49-5} \\\tau=4.04 \times 10^{-3} \\T=4.04 \mathrm{~m} \text { ? } \\\end{array} ...