In the circuit shown in Fig. P$7\mathrm{.}26,$ both switches operate together; that is$,$ they either open or close at the same time. The switches are closed a long time before opening at $()/(($ t$))=0()/().$

at

$0.$ Calculate:

ai

bi

ct$>=0$

di$($t$)$ when t$>=0$

After the switch in the circuit of Fig. P$7\mathrm{.}35$ has been open for a long time, it is closed at t$=$

$0.$ Calculate:

ai

bi

ct$>=0$

di$($t$)$ when t$>=0$

The switch in the circuit shown in Fig. P$7\mathrm{.}37$ has been in position a for a long time. At t$=$

$0,$ the switch moves instantaneously to position b$.$

ai$\_(0)($t$)$ when t$>=0$

bv$\_(0)($t$)$ for t$>=0^(+)$

Figure P$7\mathrm{.}37$

After the switch in the circuit of Fig. P$7\mathrm{.}35$ has been open for a long time, it is closed at t$=$

$0.$ Calculate:

ai

bi

ct$>=0$

di$($t$)$ when t$>=0$

The switch in the circuit shown in Fig. P$7\mathrm{.}37$ has been in position a for a long time. At t$=$

$0,$ the switch moves instantaneously to position b$.$

ai$\_(0)($t$)$ when t$>=0$

bv$\_(0)($t$)$ for t$>=0^(+)$

Figure P$7\mathrm{.}37$

The switch in the circuit shown in Fig. P$7\mathrm{.}37$ has been in position a for a long time. At t$=$

$0,$ the switch moves instantaneously to position b$.$

ai$\_(0)($t$)$ when t$>=0$

bv$\_(0)($t$)$ for t$>=0^(+)$

Figure P$7\mathrm{.}37$

Assume that the switch in the circuit of Fig. P$7\mathrm{.}51$ has been in position a for a long time and

that at t$=0$ it is moved to position b $.$ Find:

av$\_($c$)(0^(+))$

bv$\_($c$)(\backslash$infty $)$

c$\backslash$tau for t$>0$

di$(0^(+))$

ev$\_($c$),$t$>=0$

fi$,$t$>=0^(+)$

Assume that the switch in the circuit of Fig. P$7\mathrm{.}51$ has been in position a for a long time and

that at t$=0$ it is moved to position b $.$ Find:

av$\_($c$)(0^(+))$

bv$\_($c$)(\backslash$infty $)$

c$\backslash$tau for t$>0$

di$(0^(+))$

ev$\_($c$),$t$>=0$

fi$,$t$>=0^(+)$

The switch in the circuit seen in Fig. P$7\mathrm{.}54$ has been in position a for a long time. At t$=0,$

the switch moves instantaneously to position b$.$ For t$>=0^(+),$ find:

av$\_(0)($t$)$

bi$\_(0)($t$)$

Figure P$7\mathrm{.}54$ The action of the two switches in the circuit seen in Fig. P$7\mathrm{.}72$ is as follows. For $\backslash ($ t switch $1$ is in position a and switch $2$ is open. This state has existed for a long time. At $\backslash ($ t$=\backslash )0,$ switch $1$ moves instantaneously from position a to position $\backslash (\backslash$mathbf$\{$b$\}\backslash ),$ while switch $2$ remains open. Ten milliseconds after switch $1$ operates, switch $2$ closes, remains closed for $10$ ms and then opens. Find $\backslash ($ v$\_\{0\}($t$)25\backslash$mathrm$\{$~ms$\}\backslash )$ after switch $1$ moves to position b $.$

Figure P$7\mathrm{.}72$