The symbolic form of the following circuit is | vedclass

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Question

(A) Let $p$ be the statement that switch $S_{1}$ is closed.Let $q$ be the statement that switch $S_{2}$ is closed.Then $\sim p$ represents switch $S_{

Vedclass · Accepted Answer

$(p \vee q) \vee (\sim p \wedge \sim q) \equiv l$

Vedclass · Answer

(A) Let $p$ be the statement that switch $S_{1}$ is closed.Let $q$ be the statement that switch $S_{2}$ is closed.Then $\sim p$ represents switch $S_{1}'$ being closed,and $\sim q$ represents switch $S_{2}'$ being closed.In the given circuit:$1$. The top branch has switches $S_{1}$ and $S_{2}$ in parallel,which is represented by $(p \vee q)$.$2$. The bottom branch has switches $S_{1}'$ and $S_{2}'$ in series,which is represented by $(\sim p \wedge \sim q)$.$3$. These two branches are connected in parallel to each other.Therefore,the symbolic form of the circuit is $(p \vee q) \vee (\sim p \wedge \sim q) \equiv l$.

The symbolic form of the following circuit is (where $p$ and $q$ represent switches $S_{1}$ and $S_{2}$ being closed respectively):

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