Knowledge of the electric field at a given point in space is insufficient to fully determine the electric potential at that point. This is because: O The electric field is a vector quantity and the potential is only a scalar O In order to fully determine the electric potential, in addition to the electric field, you also need to know the location of the center of charge O Finding the potential from the E-field involves an indefinite integral, which results in an unknown constant of integration O In order to fully determine the electric potential, in addition to the electric field, you also need to know the overall dipole moment

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Knowledge of the electric field at a given point in space is insufficient to fully determine the
electric potential at that point. This is because:
O The electric field is a vector quantity and the potential is only a scalar
O In order to fully determine the electric potential, in addition to the electric field, you also need to know
the location of the center of charge
O Finding the potential from the E-field involves an indefinite integral, which results in an unknown constant
of integration
O In order to fully determine the electric potential, in addition to the electric field, you also need to know
the overall dipole moment
Transcribed Image Text:Knowledge of the electric field at a given point in space is insufficient to fully determine the electric potential at that point. This is because: O The electric field is a vector quantity and the potential is only a scalar O In order to fully determine the electric potential, in addition to the electric field, you also need to know the location of the center of charge O Finding the potential from the E-field involves an indefinite integral, which results in an unknown constant of integration O In order to fully determine the electric potential, in addition to the electric field, you also need to know the overall dipole moment
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