What will be the initial current through Ri the moment the switch is closed? Explain why using what we have learned about inductors. $(1$ point$)$b$)$ What will be the current through R$2$ after the switch has been closed a long time?Explain why using what we have learned about capacitors. $(1$ point$)$c$)$ Define the current as a function of time through the inductor as i$1.$ Then Use Kir$-$choff's loop rule and write an equation for the voltage rises and drops moving counterclockwise through the top loop with the battery, Ri and the inductor. $(1$ point$)$d$)$ Show that $21=($E$/$R$1)(1-$ e$-($R$/$L$)*)$ will solve the equation you wrote in part $($c$)$ bysubstituting this value for i into the equation. $(1$ point$)$e$)$ Define the current as a function of time through the capacitor as iz$.$ Then Use Kir$-$choff's loop rule and write an equation for the voltage rises and drops moving counterclockwise through the outer loop with the battery, Re and the capacitor. $(1$ point$)$f$)$ Take the derivative of the equation you wrote in part $($e$)$ with respect to time, keeping