Network theorems and hallmark properties: Match each theorem to the most distinguished property it leverages. List I (Theorem) List II (Property) A. Reciprocity 1. Impedance matching B. Tellegen’s 2. Bilateral behavior C. Superposition 3. Σ v_k i_k = 0 power balance form (network identity) D. Maximum power transfer 4. Linearity (responses add)

Introduction / Context:
Each classic network theorem highlights a structural property of circuits. Correctly pairing them helps in quickly selecting which theorem applies in analysis or design.

Given Data / Assumptions:

• Linear, time-invariant circuit assumptions for superposition and reciprocity.
• Tellegen’s theorem is topology-based and universally valid.
• Maximum power transfer refers to source/load impedance relation.

Concept / Approach:

Map the theorem to the property it fundamentally uses: reciprocity ↔ bilateral networks, Tellegen ↔ power balance identity, superposition ↔ linearity, and maximum power transfer ↔ impedance matching.

Step-by-Step Solution:

Verification / Alternative check:

Text derivations show reciprocity matrices symmetric only for bilateral linear networks; Tellegen’s holds for any lumped network; superposition fails for nonlinear elements; maximum power occurs when load equals Thevenin impedance (or its conjugate in AC).

Why Other Options Are Wrong:

• Pairing superposition with “non-linear” contradicts its premise.
• Associating reciprocity with matching confuses a property with a design criterion.

Common Pitfalls:

Thinking Tellegen’s requires linearity; it does not—it is topology-based and widely valid.

Final Answer:

A-2, B-3, C-4, D-1