Question:
Which of the following are pairs of equivalent circuits
Which of the following are pairs of equivalent circuits
Show Hint
Parallel = Disjunction ($\lor$); Series = Conjunction ($\land$).
Updated On: May 12, 2026
- (A) and (B)
- (B) and (D)
- (C) and (E)
- (A) and (C)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Concept
Circuits are equivalent if they represent the same logical statement.
Step 2: Meaning
Parallel switches represent "OR" ($\lor$), and series switches represent "AND" ($\land$).
Step 3: Analysis
Circuit A represents $p \land (q \lor r)$. Circuit C represents $(p \land q) \lor (p \land r)$. By the Distributive Law, $p \land (q \lor r) \equiv (p \land q) \lor (p \land r)$.
Step 4: Conclusion
Thus, (A) and (C) are equivalent. Final Answer: (D)
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