3. In the following network the switch has been in position 'a' for a long time. At t=0, the
switch moves instantaneously to position 'b'.
a. Draw circuit when the switch is in position 'a' and find the current $v_o(0)$ across
capacitance for t < 0
b. Draw circuit when switch is in position 'b' for $t \ge 0$ and find the current $v_o(\infty)$
c. Find the total resistance seen by capacitance for t > 0, and find time constant $\tau$
d. Find the value of $v_o(t)$ across capacitance, and current $i_o(t)$ for t > 0
e. Find voltage $v_g(t)$, initial energy stored in capacitance W(0) and energy stored at t
= 10 µ sec i.e. W(10 ? sec)