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1. Use the following values for the components in the circuit in Fig. 1: $R_1 = 12 \Omega$, $R_2 = 8 \Omega$, $R_3 = 6 \Omega$, $R_4 = 6 \Omega$, $R_5 = 6 \Omega$, $R_6 = 6 \Omega$, $L = 10 \text{ mH}$, and $V_{dc} = 20 \text{ V}$.
The switch is moved from position \"a\" to \"b\" at $t = 0$.
a. Draw the equivalent circuit for $t < 0$.
b. Draw the equivalent circuit for $t \ge 0$.
c. Compute the current through the inductor, $I_o$, at $t = 0$.
d. Compute the current through the inductor, $i(t)$, for $t > 0$.
e. Compute the current, $i_2(t)$, for $t > 0$.
f. Suggest a modification in the circuit to increase $I_o$ by 150% without changing $V_{dc}$ or any resistor value.
