The circuit in Figure P4,35 is a simple model of an automotive ignition system. The switch models the "points" that switch electric power to the cylinder when the fuel-air mixture is compressed. $R$ is the resistance across the gap between the electrodes of the spark plug.
$$
\begin{array}{ll}
V_G=12 \mathrm{~V} & R_G=0.37 \Omega \\
R=1.7 \mathrm{k} \Omega &
\end{array}
$$
Determine the value of $L$ and $R_1$ so that the voltage across the spark plug gap just after the switch is changed is 23 kV and so that this voltage will change exponentially with a time constant $\tau=13 \mathrm{~ms}$.
(FIGURE CAN'T COPY)
Figure P4.35