Question

Which theorem is used to find the maximum power transferred to a complex load?

• A. Thevenin’s Theorem
• B. Norton’s Theorem
• C. Superposition Theorem
• D. Maximum Power Transfer Theorem

Hint:

Max power → $Z_L = Z_S^*$ → Use Maximum Power Transfer Theorem.

Answer 1

The Correct Option is D

Concept: Maximum power transfer occurs when the load impedance is properly matched with the source impedance.
Step 1: Condition for maximum power (AC circuits).
For complex loads: \[ Z_L = Z_S^* \] (i.e., load impedance is the complex conjugate of source impedance)
Step 2: Relevant theorem.
This condition is derived from the Maximum Power Transfer Theorem.
Step 3: Importance.

• Used in communication systems
• Ensures efficient power delivery

Step 4: Eliminating other options.

• Thevenin/Norton: Simplify circuits
• Superposition: Analyzes multiple sources

Step 5: Conclusion.
Thus, Maximum Power Transfer Theorem is used.