Potential Differences in a Circuit with an EMF Source

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The graphic shows the potential rises and falls in a circuit with a battery providing a source of electromotive force (EMF) of magnitude . The circuit contains a resistance
, as well as an internal resistance
. The associated changes in the potential add to
, when a current
passes through the points
(before the EMF source) and
(before the resistance) and back to
, with corresponding voltages
and
. These changes in the potential, when summed algebraically, must be equal to zero, by Kirchhoff's second rule.
Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA
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Details
The following conditions hold for the potential differences in the circuit: and
.
For a detailed exposition, see D. Halliday, R. Resnick, and K. S. Krane, Physics, Vol. 2, 5th ed., New York: Wiley, 2001.
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