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Potential difference versus emf

Short answer

EMF is energy supplied by source per coulomb, exists without current; potential difference is energy used per coulomb between two points, exists when current flows. In a source, V = E − I·r. Unit is volt.

What is the difference between the potential difference and electromotive force?

PointEMF (E)Potential difference (V)
MeaningEnergy given by the source to each coulomb of chargeEnergy used by each coulomb between two points
Where it existsSource (cell, generator)Across any element or between any two points
CauseChemical, magnetic or other energy conversionCurrent flowing through a resistance
Circuit conditionExists even when no current flowsExists only when current flows (or charge is separated)
ValueGreater than or equal to the terminal voltageLess than EMF in a source with load
RelationE = V + I·r (r = internal resistance)V = E − I·r, or V = I·R
UnitVoltVolt

EMF is the cause that drives current; potential difference is its effect across a circuit element. When a source supplies no current, its terminal potential difference equals its EMF.

✓ Answer checked by Claude Opus 5.5 (high effort)

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