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# (Solved): B4. Referring to the R-L circuit in Fig. B4, an inductor, with internal resistance $$R 3=10 \Omega ... B4. Referring to the R-L circuit in Fig. B4, an inductor, with internal resistance \( R 3=10 \Omega$$, will be charged when the switch $$S W$$ is closed at $$t=0$$ s. Fig. B4 Determine: (a) the time constant $$\tau$$; (b) the equation for voltage $$v_{L}$$ in terms of $$t$$; (c) the time for $$v_{L}$$ to reach its steady state; (d) the equation for current it in term of $$t$$; and (e) the current $$i_{L}$$ flowing through the inductor $$L$$ at $$t=0, \tau, 2 \tau, 3 \tau, 4 \tau$$ and $$5 \tau$$. (f) Plot the graph of current $$i_{L}$$ against time $$t$$ from $$t=0$$ to $$5 \tau$$. (g) Calculate the new value of $$\mathrm{L}$$ if the time for the current is to reach its steady is shorten to $$15 \mathrm{~ms}$$.

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