Question
Download Solution PDFIf a source is delivering maximum power to a load, the power transfer efficiency of the circuit is always:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMaximum Power Transfer Theorem
The maximum power transfer theorem states that to obtain maximum external power from a power source with internal resistance, the resistance of the load must equal the resistance of the source as viewed from its output terminals.
Under maximum power conditions:
RL = Rth
The current is given by:
\(I={V_{th}\over R_L+R_{Th}}\)
\(I={V_{th}\over 2R_L}\)
The maximum efficiency is given by:
\(η={P_{out}\over P_{in}}\)
\(P_{out}=I^2R_L=({V_{th}\over 2R_L})^2\times R_L\)
\(P_{in}=V_{th}\times I=V_{th }\times{V_{th}\over 2R_L}\)
\(η={({V_{th}\over 2R_L})^2\times R_L\over V_{th}\times {V_{th}\over 2R_L}}\)
η = 0.5 = 50%
Last updated on Jul 1, 2025
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