or ( M * (L^2) /(T^2 ) ) / ((M^.5) * (L^.5)) = ( (M^.5) * (L^1.5) ) /(T^2)
The practical unit of electro-motive force is the volt, q. v. It is often expressed in abbreviated form, as E. M. D. P., or simply as D. P., i. e., potential difference.
Electro-motive force and potentialdifference are in many cases virtually identical, and distinctions drawn between them vary with different authors. If we consider a closed electriccircuit carrying a current, a definite electro-motive force determined by Ohm's law from the resistance and current obtains in it. But if we attempt to define potentialdifference as proper to the circuit we may quite fail. Potentialdifference in a circuit is the difference in potential between defined points of such circuit. But no points in a closed circuit can be found which differ in potential by an amount equal to the entire electro-motive force of the circuit. Potential difference is properly the measure of electro-motive force expended on the portion of a circuit between any given points. Electro-motive force of an entire circuit, as it is measured, as it were, between two consecutive points but around the long portion of the circuit, is not conceivable as merely potentialdifference. Taking the circle divided in to degrees as an analogy, the electro-motive force of the entirecircuitmight be expressed as 360º, which are the degrees intervening between two consecutive points, measured the long way around the circle. But the potentialdifference between the same two points would be only 1º, for it would be measured by the nearest path.
[Transcriber's notes: If 360º is the "long" way, 0º is the "short". A formalrestatement of the abovedefinition of EMF: "If a charge Q passes through a device and gains energy U, the net EMF for that device is the energy gained per unit charge, or U/Q. The unit of EMF is a volt, or newton-meter per coulomb."]