Physics Current Electricity SZABMU 2024
PMDC Verified Question 2 of 112
In any electric circuit, power output (\( P_{out} \)) will be maximum when ____. (Whereas R = external resistance, r = internal resistance)
A
\( R = 0 \) but \( r \neq 0 \)
B
\( r = 0 \) but \( R \neq 0 \)
C
\( R = \infty \) and \( r = 0 \)
D
\( R = r \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( R = r \)
Concept:

The maximum power transfer theorem defines the absolute limit of power a source can deliver to a load.

Solution:

  • The theorem states that to obtain maximum external power from a source with a fixed internal resistance (\(r\)), the external load resistance (\(R\)) must be exactly matched to it.


  • Therefore, maximum power occurs strictly when \( R = r \).


Why other options are incorrect:

  • Opt A: If \(R=0\) (short circuit), voltage drops to zero across the load, yielding zero power output.


  • Opt B: While an ideal theoretical battery (\(r=0\)) delivers more total power unconditionally, the theorem asks for the condition on any given real circuit.


  • Opt C: Infinite resistance means zero current flow, thus zero power.

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