In Fig. $\mathbf{30}\mathbf{.}\mathbf{11}$, suppose that $\mathit{\epsilon }\mathbf{=}\mathbf{60}\mathit{V}$, $\mathit{R}\mathbf{=}\mathbf{240}\mathit{\Omega }$, and $\mathit{L}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{16}\mathit{H}$. With switch $\mathit{S}\mathbf{2}$open, switch $\mathit{S}\mathbf{1}$is left closed until a constant current is established. Then $\mathit{S}\mathbf{1}$is closed and $\mathit{S}\mathbf{2}$opened, taking the battery out of the circuit. (a) What is the initial current in the resistor, just after $\mathit{S}\mathbf{2}$is closed and $\mathit{S}\mathbf{1}$is opened? (b) What is the current in the resistor at$\mathit{t}\mathbf{=}\mathbf{4}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{4}}\mathit{s}$? (c) What is the potential difference between points b and c at $\mathit{t}\mathbf{=}\mathbf{4}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{4}}\mathit{s}$? Which point is at a higher potential? (d) How long does it take the current to decrease to half its initial value?

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