Consider statements p : S ₁ is closed; q : S ₂ is closed; r : S ₃ is closed. The simplified equivalent circuit diagram and its logical statement for the switching circuit is respectively.

Step-by-step solution

Translating the switching circuit into logical expressions, let p represent S₁ closed, q represent S₂ closed, and r represent S₃ closed. The leftmost parallel block contains three branches: p q , p , and q . The disjunction ( p q) p q simplifies to (p q) (p q) , which is always true. This block is equivalent to a closed switch. The middle component is switch S₃ , represented by r . The rightmost parallel block has branches p q and p q . Their disjunction (p q) ( p q) factors as q (p p) , simplifying to q . The enti