The current through a resistor is directly proportional to the potential difference (voltage) across it, provided the temperature (and hence resistance) remains constant. This linear relationship is known as Ohm’s law and is written as V=IRV=IRV=IR, or equivalently I∝VI\propto VI∝V at constant RRR.

Quick Scoop

  • At constant temperature, doubling the potential difference across a resistor doubles the current through it, and halving the potential difference halves the current.
  • On a graph of voltage (V) versus current (I) for an ohmic resistor, the points lie on a straight line through the origin; the slope of this line is the resistor’s resistance.
  • This behavior is summarized by Ohm’s law: V=IRV=IRV=IR, where VVV is potential difference in volts, III is current in amperes, and RRR is resistance in ohms.

In simple terms: keep the resistor at the same temperature and think “more push (voltage) → more flow (current), in a straight-line, predictable way.”

TL;DR: The relationship is a directly proportional one: I∝VI\propto VI∝V at constant temperature (Ohm’s law).

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