Consider the following statements:p: the swit | vedclass

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(C) Let $p$ be the switch $S_1$ is closed,$q$ be the switch $S_2$ is closed,and $r$ be the switch $S_3$ is closed.Then $\sim p$ represents the switch

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(C) Let $p$ be the switch $S_1$ is closed,$q$ be the switch $S_2$ is closed,and $r$ be the switch $S_3$ is closed.Then $\sim p$ represents the switch $S_1'$ is closed,$\sim q$ represents the switch $S_2'$ is closed,and $\sim r$ represents the switch $S_3'$ is closed.The given statement is $(p \wedge q) \vee (\sim p \wedge (\sim q \vee p \vee r))$.This represents two main branches connected in parallel:$1$. The first branch is $(p \wedge q)$,which corresponds to switches $S_1$ and $S_2$ in series.$2$. The second branch is $(\sim p \wedge (\sim q \vee p \vee r))$,which corresponds to switch $S_1'$ in series with a parallel combination of switches $S_2'$,$S_1$,and $S_3$.Comparing this with the given options,the circuit diagram in option $C$ matches this description.

Consider the following statements:
$p$: the switch $S_1$ is closed.
$q$: the switch $S_2$ is closed.
$r$: the switch $S_3$ is closed.
Then the switching circuit represented by the statement $(p \wedge q) \vee (\sim p \wedge (\sim q \vee p \vee r))$ is

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Consider the following statements:$p$: the switch $S_1$ is closed.$q$: the switch $S_2$ is closed.$r$: the switch $S_3$ is closed.Then the switching circuit represented by the statement $(p \wedge q) \vee (\sim p \wedge (\sim q \vee p \vee r))$ is