At $t<0$, the circuit shown in Figure P5.9 is at steady state. The switch is changed as shown at $t=0$.
$$
\begin{aligned}
V_{51}=13 \mathrm{~V} & V_{52}=13 \mathrm{~V} \\
L=170 \mathrm{mH} & R_1=2.7 \Omega \\
R_2=4.3 \mathrm{k} \Omega & R_3-29 \mathrm{k} \Omega
\end{aligned}
$$
Determine the time constant of the circuit for $t>0$.