A variable load resistance R is connected across a battery of emf E and internal resistance r. Pick the INCORRECT statement.

If the current is maximum, the power delivered to the load is also maximum
Maximum power is delivered to the load when R = r
If R << r, the source delivers an almost fixed (constant) current to the load
The power delivered to the load is small when R is either very small or very large

Correct answer: If the current is maximum, the power delivered to the load is also maximum

Solution

Current is maximum when R = 0, but then the load power I² R = 0; maximum load power instead occurs at R = r, so the statement linking maximum current to maximum power is false.

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