An alternative equivalent circuit for the giv | vedclass

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(B) The given circuit consists of two parallel branches.The first branch has switches $S_1$ and $S_2$ in series, which can be represented by the logic

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(B) The given circuit consists of two parallel branches.The first branch has switches $S_1$ and $S_2$ in series, which can be represented by the logical expression $(S_1 \land S_2)$.The second branch has switches $S_1$ and $S_3$ in series, which can be represented by the logical expression $(S_1 \land S_3)$.Since these two branches are in parallel, the total circuit is represented by the expression $(S_1 \land S_2) \lor (S_1 \land S_3)$.Using the distributive law of Boolean algebra, we can factor out $S_1$:$(S_1 \land S_2) \lor (S_1 \land S_3) = S_1 \land (S_2 \lor S_3)$.This expression represents a switch $S_1$ in series with a parallel combination of switches $S_2$ and $S_3$. This corresponds to the circuit shown in option $B$.

An alternative equivalent circuit for the given circuit is:

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