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Referring to the figure. The switch $S$ is in position $1$ initially and steady state conditions exist from time $\mathrm{t}=0$ to $t=t_0$. The switch is suddenly thrown into position $2$. The current $1$ through the $10 \mathrm{~K}$ resistor as a function of time $\mathrm{t}$ from $\mathrm{t}=$ $0$ , is .... (Give the sketch showing the magnitudes of the current at $t=0$, $t=t_0$ and $t=\infty$ )