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Lesson: Chapter 19 — Current Electricity

19.4. Ohm's law 4 of 5

Resistance and the ohm

The constant has a name. It is the property that decides how much current a given push produces, and every conductor has its own value of it.

Electrical resistance

V / I = R

The constant V ÷ I is called the electrical resistance of the conductor, written R.

The unit

The unit in which resistance is measured is the ohm, written with the Greek letter omega.

One ohm

If a potential difference of one volt applied across the two ends of a conductor makes a current of one ampere flow through it, the resistance of that conductor is defined as one ohm.

1 Ω

The instrument used to measure resistance is called an ohm meter.

The graph the readings make

Take the data from the activity, mark the potential difference up the y axis and the current along the x axis, and plot it. The points fall on a straight line through the origin — which is what "directly proportional" looks like when you draw it.

I (A) 0.5 1 1.5 2 2.5
V (V) 1 2 3 4 5

The gradient of that line is the resistance

Because every point satisfies V ÷ I = R, the steepness of the line is R. A steeper line means a larger resistance: more volts needed for each ampere you want.