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Thus large voltages and/or low resistances produce large currents.
Large resistors limit current to low values. Almost every circuit is
more complicated than just a battery and a resistor, so which
voltage does the formula refer to? It refers to the voltage across
the resistor, the voltage between the two terminal wires. Looked at
another way, that voltage is actually produced by the resistor.
The
resistor is restricting the flow of charge, slowing it down, and
this creates a traffic jam on one side, forming an excess of charge
with respect to the other side. Any such charge difference or
separation results in a voltage between the two points, as explained
above. Ohm's law tells us how to calculate that voltage if we know
the resistor value and the current flow. This voltage drop is
analogous to the drop in water pressure through a small pipe or
small nozzle.
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