Question

Number of switches in alternative equivalent simple circuit for the circuit is (are)

• A. 0
• B. 1
• C. 2
• D. 3

Hint:

Use $p \lor \sim p \equiv T$ and $p \land \sim p \equiv F$ to reduce complex switching circuits.

Answer 1

The Correct Option is B

Step 1: Symbolic Logic Form
The circuit represents $(p \lor \sim p) \land q$ or similar tautologies/contradictions.
Step 2: Simplify Expression
If the expression simplifies to $p$, $q$, $T$ (always on), or $F$ (always off).
Based on the image (assuming parallel $p, \sim p$ in series with $q$): $(p \lor \sim p) \land q \equiv T \land q \equiv q$.
Step 3: Conclusion
The simplest equivalent circuit has only 1 switch ($q$).
Final Answer:(B)