If p: switch S_1 is closed,q: switch S_2 is c | vedclass

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Question

(D) The circuit consists of two parallel branches connected in series with the lamp $L$. Branch $1$ consists of switch $S_1$ in series with a parallel

Vedclass · Accepted Answer

$(p \wedge (q \vee r)) \vee (r \wedge q \wedge p)$

Vedclass · Answer

(D) The circuit consists of two parallel branches connected in series with the lamp $L$. Branch $1$ consists of switch $S_1$ in series with a parallel combination of $S_2$ and $S_3$. The symbolic form for this branch is $p \wedge (q \vee r)$. Branch $2$ consists of switches $S_3$,$S_2$,and $S_1$ all in series. The symbolic form for this branch is $r \wedge q \wedge p$. Since the two branches are in parallel,the total symbolic form is $(p \wedge (q \vee r)) \vee (r \wedge q \wedge p)$.

If $p$: switch $S_1$ is closed,$q$: switch $S_2$ is closed,$r$: switch $S_3$ is closed,then the symbolic form of the following switching circuit is equivalent to:

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