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Potentiometer: emf & internal resistance of batteries

Zadanie

A battery with internal resistance of 1 Ω and an unknown emf drives a current across a 9 Ω resistor.
When a potentiometer with a wire AB is connected across the battery, the balancing length is, AE=80 cm.
What do we need in order to find the emf of the battery, E, in the fewest steps of calculation?
Note: Let's begin from scratch, and avoid using any derived results.
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