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Current or "electrical current" (to distinguish it from current in a river) is the flow of electrons in a wire which can perform useful work. The current can be generated by a battery or a generator, or by other means.

Current electricity is not a commonly used term. "Current electricity" is the science of electric currents, and it means the same thing as Electrodynamics. Example: the Electrical Sciences can be divided into two parts: Static Electricity or Electrostatics, and Current Electricity or Electrodynamics.

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Q: Current electricity vs electrical current
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