$(1)$

Part A

The circuit given below contains two switches that always operate together perfectly except for one quirk: when one switch opens, the other closes $($and vice versa$).$ Assume at $t=0^{-},$ that switch $A$ is open while switch $B$ is closed. Starting at $t=0,$ they change positions every $30$ ms $.$ Take the value of $x=8$ and $y=15.$

Calculate the capacitor voltage $($with respect to the bottom node, which we take as the reference node$)$ at $t=0^{-}.($Round the final answer to one decimal place.$)$

The capacitor voltage is $q,$

$!$

Part B

The circuit given below contains two switches that always operate together perfectly except for one quirk: when one switch opens, the other closes $($and vice versa$).$ Assume at $t=0^{-},$ that switch A is open while switch $B$ is closed. Starting at $t=0,$ they change positions every $30$ ms $.$ Take the value of $x=8$ and $y=15.$

Calculate the capacitor voltage $($with respect to the bottom node, which we take as the reference node$)$ at $t=0^{+}.($Round the final answer to one decimal place.$)$

The capacitor voltage is $q,$ V $.$

$!$

Part C

The circuit given below contains two switches that always operate together perfectly except for one quirk: when one switch opens, the other closes $($and vice versa$).$ Assume at $t=0^{-},$ that switch A is open while switch B is closed. Starting at $t=0,$ they change positions every $30$ ms $.$ Take the value of $x=8$ and $y=15.$

Calculate the capacitor voltage $($with respect to the bottom node, which we take as the reference node$)$ at $t={30}^{-}ms.($Round the final answer to one decimal place.$)$

$!$

Part D

The circuit given below contains two switches that always operate together perfectly except for one quirk: when one switch opens, the other closes $($and vice versa$).$ Assume at $t=0^{-},$ that switch A is open while switch B is closed. Starting at $t=0,$ they change positions every $30$ ms $.$ Take the value of $x=8$ and $y=15.$

Calculate the capacitor voltage $($with respect to the bottom node, which we take as the reference node$)$ at $t={30}^{+}ms.($Round the fina answer to one decimal place.$)$

The capacitor voltage is $q,$

Part E

The circuit given below contains two switches that always operate together perfectly except for one quirk: when one switch opens, the other closes $($and vice versa$).$ Assume at $t=0^{-},$ that switch A is open while switch B is closed. Starting at $t=0,$ they change positions every $30$ ms $.$ Take the value of $x=8$ and $y=15.$

Calculate the capacitor voltage $($with respect to the bottom node, which we take as the reference node$)$ at $t=40ms.($Round the final

answer to one decimal place.$)$

The capacitor voltage is

$q,$