The symbolic form of the following circuit is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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):

Similar Questions

Which of the following statement patterns is a tautology?
$S_1 \equiv (\sim q \wedge p) \wedge q$
$S_2 \equiv [p \wedge (p$ $\rightarrow q)]$ $\rightarrow q$
$S_3 \equiv (p \wedge q) \wedge (\sim p \vee \sim q)$
$S_4 \equiv (p \wedge q) \rightarrow r$

Simplify $(p \vee q) \wedge (p \vee \sim q)$

Find the component statements of the following compound statement and check whether they are true or false.
$100$ is divisible by $3, 11$ and $5$.

Verify by the method of contradiction.
$p: \sqrt{7}$ is irrational

Vedclass Test Series

Exam Paper Generator

Online Exam Module