The document discusses the maximum power transfer theorem in DC circuits, stating that maximum power is transferred to the load when the load resistance equals either the Thevenin or Norton resistance as seen from the load. It provides multiple examples to calculate the load resistance for maximum power transfer and the corresponding maximum power delivered. References from notable circuit analysis textbooks are also included.

1. .
‫عبدالله‬ ‫سليمان‬ ‫احمد‬ ‫د‬
By Dr. Ahmed S. Abdullah
Maximum Power Transfer
Theorem
DC Circuits

2. Maximum Power Transfer Theorem
Maximum power is transferred to the load when the load resistance equals the
Thevenin resistance as seen from the load
and

3. Maximum Power Transfer Theorem
Maximum power is transferred to the load when the load resistance equals the Norton’s
resistance as seen from the load
and
𝐼𝐿=
𝐼𝑁 𝑅𝑁
𝑅𝑁 + 𝑅𝐿
=
𝐼𝑁 𝑅𝑁
𝑅𝑁 +𝑅𝑁
=
𝐼𝑁 𝑅𝑁
2 𝑅𝑁
𝑃𝐿= 𝐼𝐿
2
𝑅𝐿=𝐼𝐿
2
𝑅𝑁 =
(𝐼𝑁 𝑅𝑁
2 𝑅𝑁
)
2
𝑅𝑁

4. Maximum Power Transfer Theorem
EXAMPLE 1: For the network shown, determine the value of RL for maximum power transfer, and calculate the
maximum power delivered under these conditions.

5. Maximum Power Transfer Theorem
Solution:
EXAMPLE 1: For the network shown, determine the value of RL for maximum power transfer, and calculate the
maximum power delivered under these conditions.

6. Maximum Power Transfer Theorem
Solution:
EXAMPLE 1: For the network shown, determine the value of RL for maximum power transfer, and calculate the
maximum power delivered under these conditions.

7. Maximum Power Transfer Theorem
Solution:
EXAMPLE 1: For the network shown, determine the value of RL for maximum power transfer, and calculate the
maximum power delivered under these conditions.

8. Maximum Power Transfer Theorem
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

9. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

10. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

11. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

12. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

13. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

14. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

15. Maximum Power Transfer Theorem
Solution:
EXAMPLE 2: Find the value of RL in network shown for maximum power to RL , and determine the maximum power.

16. References
 Boylestad, Robert L. Introductory circuit analysis. Pearson Education, 2010.
 Robbins, Allan H., and Wilhelm C. Miller. Circuit analysis: Theory and
practice. Cengage Learning, 2012.
 Sadiku, Matthew NO, and Chales K. Alexander. Fundamentals of electric
circuits. McGraw-Hill Higher Education, 2007.