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Page 1: Maximum Power Transfer Theorem
Page 2: Maximum Power Transfer Theorem

Objective of LectureExplain the maximum power transfer

theorem.Chapter 4.8 Fundamentals of Electric Circuits

Page 3: Maximum Power Transfer Theorem

Maximum Power TransferFor any power source, the maximum power

transferred from the power source to the load is when the resistance of the load RL is equal to the equivalent or input resistance of the power source (Rin = RTh or RN).The process used to make RL = Rin is called

impedance matching.

Page 4: Maximum Power Transfer Theorem

Power Transfer Calculation

RTh 50

VTh

1V

L

ThThL

L

L

LLL

R

VRR

R

P

RVP2

2

Page 5: Maximum Power Transfer Theorem

ApplicationWhen developing new circuits for a known

application, optimize the power transfer by designing the circuit to have an input resistance close to the load resistance.

When selecting a source to power a circuit, one of the selection criteria is to match the input impedance to the load resistance.

Page 6: Maximum Power Transfer Theorem

Example Seen in ECE LabsFunction generator on the Velleman oscilloscope that is

used in a number of ECE lab classes. Measurements of V, the voltage across the load resistor RL, can be well below the voltage specified on the function generator.Rin = RTh = 40

This is observed as RL approaches or

smaller than RTh.

http://www.vellemanusa.com

Page 7: Maximum Power Transfer Theorem

Other ExamplesSelection of wire –

Antenna wire is designed to match a 75 load.Coaxial cable is designed to act like a 50 load.

Most electronic and electrical equipment are designed to have an RTh of 50 .The speakers used in some of the ECE labs are

designed to act like an an 8 load while microphones are designed to act like a 600 load.

It is important that the resistance of the wire that runs to the speaker is very low or the power will be dissipated in the wire rather than used to create sound.

For best audio quality, the input impedance of the circuit connected to the speaker (or the microphone) should be equal to the resistance of the speaker (or the microphone).

Page 8: Maximum Power Transfer Theorem

SummaryMaximum power transfer theorem is used

frequently to insure that the greatest power can be transferred from a power source to a load.


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