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Current flows in a circuit due to potential difference from "summary" of Fundamentals of Physics, Volume 1 (Chapters 1 - 20) by David Halliday,Robert Resnick,Jearl Walker

When a potential difference is established in a circuit, it creates an electric field that exerts a force on the charges within the conductor. This force causes the charges to move, resulting in the flow of electric current. The potential difference, also known as voltage, is the driving force behind the movement of charges in a circuit. It is analogous to the pressure difference that causes water to flow in a pipe. In a simple circuit consisting of a battery connected to a resistor, the potential difference provided by the battery sets up an electric field within the circuit. This electric field exerts a force on the electrons in the wire, causing them to drift in the direction of the field. The rate at which charges flow past a given point in the circuit is defined as the electric current. The greater the potential difference, the greater the force on the charges, and hence, the greater t...
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    Fundamentals of Physics, Volume 1 (Chapters 1 - 20)

    David Halliday

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